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Finding the Fourth Proportional to 512,737.59, 707,592.17 and 283,309.65

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Solution

The fourth proportional to 512,737.59, 707,592.17 and 283,309.65 is: 390,975.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,737.59 : 707,592.17 = 283,309.65 : x
  2. Step 2: Convert to fraction form
    512,737.59/707,592.17 = 283,309.65/x
  3. Step 3: Cross multiply
    512,737.59x = 707,592.17 × 283,309.65
  4. Step 4: Simplify right side
    512,737.59x = 200,467,690,733.72
  5. Step 5: Solve for x
    x = 200,467,690,733.72/512,737.59
  6. Step 6: Final answer
    x = 390,975.21

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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.