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Finding the Fourth Proportional to 431,545.68, 647,317.62 and 116,002.62

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Solution

The fourth proportional to 431,545.68, 647,317.62 and 116,002.62 is: 174,003.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,545.68 : 647,317.62 = 116,002.62 : x
  2. Step 2: Convert to fraction form
    431,545.68/647,317.62 = 116,002.62/x
  3. Step 3: Cross multiply
    431,545.68x = 647,317.62 × 116,002.62
  4. Step 4: Simplify right side
    431,545.68x = 75,090,539,892.16
  5. Step 5: Solve for x
    x = 75,090,539,892.16/431,545.68
  6. Step 6: Final answer
    x = 174,003.69

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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.