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Finding the Fourth Proportional to 442,234.20, 663,351.30 and 282,801.90

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Solution

The fourth proportional to 442,234.20, 663,351.30 and 282,801.90 is: 424,202.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,234.20 : 663,351.30 = 282,801.90 : x
  2. Step 2: Convert to fraction form
    442,234.20/663,351.30 = 282,801.90/x
  3. Step 3: Cross multiply
    442,234.20x = 663,351.30 × 282,801.90
  4. Step 4: Simplify right side
    442,234.20x = 187,597,008,007.47
  5. Step 5: Solve for x
    x = 187,597,008,007.47/442,234.20
  6. Step 6: Final answer
    x = 424,202.85

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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.