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Finding the Fourth Proportional to 431,377.20, 647,065.80 and 406,882.80

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Solution

The fourth proportional to 431,377.20, 647,065.80 and 406,882.80 is: 610,324.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,377.20 : 647,065.80 = 406,882.80 : x
  2. Step 2: Convert to fraction form
    431,377.20/647,065.80 = 406,882.80/x
  3. Step 3: Cross multiply
    431,377.20x = 647,065.80 × 406,882.80
  4. Step 4: Simplify right side
    431,377.20x = 263,279,944,488.24
  5. Step 5: Solve for x
    x = 263,279,944,488.24/431,377.20
  6. Step 6: Final answer
    x = 610,324.20

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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.