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Finding the Fourth Proportional to 686,385.53, 946,891.64 and 431,877.05

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Solution

The fourth proportional to 686,385.53, 946,891.64 and 431,877.05 is: 595,788.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,385.53 : 946,891.64 = 431,877.05 : x
  2. Step 2: Convert to fraction form
    686,385.53/946,891.64 = 431,877.05/x
  3. Step 3: Cross multiply
    686,385.53x = 946,891.64 × 431,877.05
  4. Step 4: Simplify right side
    686,385.53x = 408,940,761,259.02
  5. Step 5: Solve for x
    x = 408,940,761,259.02/686,385.53
  6. Step 6: Final answer
    x = 595,788.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.