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Finding the Fourth Proportional to 488,592.20, 733,061.10 and 471,312.20

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Solution

The fourth proportional to 488,592.20, 733,061.10 and 471,312.20 is: 707,134.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,592.20 : 733,061.10 = 471,312.20 : x
  2. Step 2: Convert to fraction form
    488,592.20/733,061.10 = 471,312.20/x
  3. Step 3: Cross multiply
    488,592.20x = 733,061.10 × 471,312.20
  4. Step 4: Simplify right side
    488,592.20x = 345,500,639,775.42
  5. Step 5: Solve for x
    x = 345,500,639,775.42/488,592.20
  6. Step 6: Final answer
    x = 707,134.99

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Why These Related Problems?

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