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Finding the Fourth Proportional to 297,382.43, 410,376.69 and 161,413.46

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Solution

The fourth proportional to 297,382.43, 410,376.69 and 161,413.46 is: 222,744.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,382.43 : 410,376.69 = 161,413.46 : x
  2. Step 2: Convert to fraction form
    297,382.43/410,376.69 = 161,413.46/x
  3. Step 3: Cross multiply
    297,382.43x = 410,376.69 × 161,413.46
  4. Step 4: Simplify right side
    297,382.43x = 66,240,319,384.36
  5. Step 5: Solve for x
    x = 66,240,319,384.36/297,382.43
  6. Step 6: Final answer
    x = 222,744.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.