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Finding the Fourth Proportional to 431,934.52, 647,916.96 and 116,398.96

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Solution

The fourth proportional to 431,934.52, 647,916.96 and 116,398.96 is: 174,602.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,934.52 : 647,916.96 = 116,398.96 : x
  2. Step 2: Convert to fraction form
    431,934.52/647,916.96 = 116,398.96/x
  3. Step 3: Cross multiply
    431,934.52x = 647,916.96 × 116,398.96
  4. Step 4: Simplify right side
    431,934.52x = 75,416,860,310.36
  5. Step 5: Solve for x
    x = 75,416,860,310.36/431,934.52
  6. Step 6: Final answer
    x = 174,602.53

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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.