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Finding the Fourth Proportional to 416,229.73, 574,397.02 and 225,243.12

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Solution

The fourth proportional to 416,229.73, 574,397.02 and 225,243.12 is: 310,835.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,229.73 : 574,397.02 = 225,243.12 : x
  2. Step 2: Convert to fraction form
    416,229.73/574,397.02 = 225,243.12/x
  3. Step 3: Cross multiply
    416,229.73x = 574,397.02 × 225,243.12
  4. Step 4: Simplify right side
    416,229.73x = 129,378,976,340.40
  5. Step 5: Solve for x
    x = 129,378,976,340.40/416,229.73
  6. Step 6: Final answer
    x = 310,835.50

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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.