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Finding the Fourth Proportional to 656,287.20, 983,847.60 and 431,755.20

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Solution

The fourth proportional to 656,287.20, 983,847.60 and 431,755.20 is: 647,249.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,287.20 : 983,847.60 = 431,755.20 : x
  2. Step 2: Convert to fraction form
    656,287.20/983,847.60 = 431,755.20/x
  3. Step 3: Cross multiply
    656,287.20x = 983,847.60 × 431,755.20
  4. Step 4: Simplify right side
    656,287.20x = 424,781,317,307.52
  5. Step 5: Solve for x
    x = 424,781,317,307.52/656,287.20
  6. Step 6: Final answer
    x = 647,249.13

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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.