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Finding the Fourth Proportional to 316,420.74, 474,633 and 129,432.24

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Solution

The fourth proportional to 316,420.74, 474,633 and 129,432.24 is: 194,149.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,420.74 : 474,633 = 129,432.24 : x
  2. Step 2: Convert to fraction form
    316,420.74/474,633 = 129,432.24/x
  3. Step 3: Cross multiply
    316,420.74x = 474,633 × 129,432.24
  4. Step 4: Simplify right side
    316,420.74x = 61,432,812,367.92
  5. Step 5: Solve for x
    x = 61,432,812,367.92/316,420.74
  6. Step 6: Final answer
    x = 194,149.13

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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.