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Finding the Fourth Proportional to 431,713.20, 647,310.60 and 221,761.20

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Solution

The fourth proportional to 431,713.20, 647,310.60 and 221,761.20 is: 332,508.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,713.20 : 647,310.60 = 221,761.20 : x
  2. Step 2: Convert to fraction form
    431,713.20/647,310.60 = 221,761.20/x
  3. Step 3: Cross multiply
    431,713.20x = 647,310.60 × 221,761.20
  4. Step 4: Simplify right side
    431,713.20x = 143,548,375,428.72
  5. Step 5: Solve for x
    x = 143,548,375,428.72/431,713.20
  6. Step 6: Final answer
    x = 332,508.65

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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.