To purchase the house of your dreams, you will take a loan for $$420,000.$ You will repay the loan in annual payments over the next $30$ years and the loan has a stated interest rate of $5\%.$ For the very last payment on your loan, how much of this is repayment of principal?

Round to the nearest $$0\mathrm{.}01$ but do not use the $ sign. Do not use commas to separate thousands. For example if you obtain $$1,432\mathrm{.}728$ then enter $1433\mathrm{.}73$; if you obtain $$432$ then enter $432\mathrm{.}00$

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