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Finding the Fourth Proportional to 510,332.34, 765,500.57 and 206,732.24

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Solution

The fourth proportional to 510,332.34, 765,500.57 and 206,732.24 is: 310,099.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,332.34 : 765,500.57 = 206,732.24 : x
  2. Step 2: Convert to fraction form
    510,332.34/765,500.57 = 206,732.24/x
  3. Step 3: Cross multiply
    510,332.34x = 765,500.57 × 206,732.24
  4. Step 4: Simplify right side
    510,332.34x = 158,253,644,686.75
  5. Step 5: Solve for x
    x = 158,253,644,686.75/510,332.34
  6. Step 6: Final answer
    x = 310,099.19

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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.