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an accountant I worked with recommended adding a "fudge factor" column to ledgers...
Yes, this sounds like an accountants' solution. And that's not meant to sound entirely dismissive: a few pennies lost in accounting doesn't indicate the same sort of problem or solution as an off-by-one error in software engineering.
for sure. I'm actually surprised that the client accountant bothered to fix it. I wonder if they felt compelled to by the way the system had been setup and whether they would have preferred it to be engineered to tolerate discrepancy.
I think their checksums were off, and they suspected a bigger problem, so spent a long time trying to find where the discrepancy was...
but then you have a different problem: your tax rate won't match. Which it often doesn't due to rounding anyway but the rounding rules tend to be strict
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