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Finding the Fourth Proportional to 431,677.20, 647,807.40 and 281,551.80

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Solution

The fourth proportional to 431,677.20, 647,807.40 and 281,551.80 is: 422,517.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,677.20 : 647,807.40 = 281,551.80 : x
  2. Step 2: Convert to fraction form
    431,677.20/647,807.40 = 281,551.80/x
  3. Step 3: Cross multiply
    431,677.20x = 647,807.40 × 281,551.80
  4. Step 4: Simplify right side
    431,677.20x = 182,391,339,523.32
  5. Step 5: Solve for x
    x = 182,391,339,523.32/431,677.20
  6. Step 6: Final answer
    x = 422,517.89

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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.