Just to be clear...if this is pre-tax money from the prior 401(k)s, then what you're considering would just be a regular conversion to a Roth IRA. There is no "back door" involved. A "back door" Roth conversion can be used when your modified adjusted gross income is too high to be eligible to make a Roth IRA contribution. In that instance, since you can't make a direct contribution to a Roth IRA, you instead make an after-tax contribution to a Traditional IRA and then convert it via "back door" to a Roth IRA. But the strategy doesn't work when you have other significant pre-tax IRA funds, due to the rules on pro-rating the tax-free conversion. Generally speaking, a contribution or conversion to a Roth IRA makes the most sense when your current income tax bracket is lower than (or similar to) what you think it might be later in retirement. By way of contrast, if your current bracket is higher than it'll likely be in retirement, then paying the extra taxes now on a Roth conversion makes little sense. One of the most useful strategies in Roth conversion is to convert just some of your pre-tax balances each year to keep the tax bite manageable and avoid being pushed into a higher tax bracket. I hope that helps.
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