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Finding the Fourth Proportional to 408,306.66, 563,488.71 and 227,059.14

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Solution

The fourth proportional to 408,306.66, 563,488.71 and 227,059.14 is: 313,355.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,306.66 : 563,488.71 = 227,059.14 : x
  2. Step 2: Convert to fraction form
    408,306.66/563,488.71 = 227,059.14/x
  3. Step 3: Cross multiply
    408,306.66x = 563,488.71 × 227,059.14
  4. Step 4: Simplify right side
    408,306.66x = 127,945,261,892.31
  5. Step 5: Solve for x
    x = 127,945,261,892.31/408,306.66
  6. Step 6: Final answer
    x = 313,355.80

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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.