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Finding the Fourth Proportional to 408,195.20, 563,306.24 and 229,347.20

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Solution

The fourth proportional to 408,195.20, 563,306.24 and 229,347.20 is: 316,497.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,195.20 : 563,306.24 = 229,347.20 : x
  2. Step 2: Convert to fraction form
    408,195.20/563,306.24 = 229,347.20/x
  3. Step 3: Cross multiply
    408,195.20x = 563,306.24 × 229,347.20
  4. Step 4: Simplify right side
    408,195.20x = 129,192,708,886.53
  5. Step 5: Solve for x
    x = 129,192,708,886.53/408,195.20
  6. Step 6: Final answer
    x = 316,497.37

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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.