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Finding the Fourth Proportional to 410,491.20, 615,675.24 and 129,972

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Solution

The fourth proportional to 410,491.20, 615,675.24 and 129,972 is: 194,938.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,491.20 : 615,675.24 = 129,972 : x
  2. Step 2: Convert to fraction form
    410,491.20/615,675.24 = 129,972/x
  3. Step 3: Cross multiply
    410,491.20x = 615,675.24 × 129,972
  4. Step 4: Simplify right side
    410,491.20x = 80,020,542,293.28
  5. Step 5: Solve for x
    x = 80,020,542,293.28/410,491.20
  6. Step 6: Final answer
    x = 194,938.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.