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Finding the Fourth Proportional to 431,592.20, 647,582.70 and 206,865.80

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Solution

The fourth proportional to 431,592.20, 647,582.70 and 206,865.80 is: 310,391.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,592.20 : 647,582.70 = 206,865.80 : x
  2. Step 2: Convert to fraction form
    431,592.20/647,582.70 = 206,865.80/x
  3. Step 3: Cross multiply
    431,592.20x = 647,582.70 × 206,865.80
  4. Step 4: Simplify right side
    431,592.20x = 133,962,713,301.66
  5. Step 5: Solve for x
    x = 133,962,713,301.66/431,592.20
  6. Step 6: Final answer
    x = 310,391.88

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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.