Cindy has a new job offer but will need a new car for the job. After planning a budget, they determine that they can afford to pay at most $$308$ per month for a $6-$year car loan. If an annual percentage rate of $3\mathrm{.}4\%$ is available to finance the car loan, calculate the value of the most expensive car loan that Cindy can afford. Round to the nearest whole number.