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Finding the Fourth Proportional to 410,545.74, 566,552 and 229,256.20

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Solution

The fourth proportional to 410,545.74, 566,552 and 229,256.20 is: 316,372.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,545.74 : 566,552 = 229,256.20 : x
  2. Step 2: Convert to fraction form
    410,545.74/566,552 = 229,256.20/x
  3. Step 3: Cross multiply
    410,545.74x = 566,552 × 229,256.20
  4. Step 4: Simplify right side
    410,545.74x = 129,885,555,789.64
  5. Step 5: Solve for x
    x = 129,885,555,789.64/410,545.74
  6. Step 6: Final answer
    x = 316,372.92

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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.