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Finding the Fourth Proportional to 512,738.47, 707,593.35 and 283,310.54

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Solution

The fourth proportional to 512,738.47, 707,593.35 and 283,310.54 is: 390,976.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,738.47 : 707,593.35 = 283,310.54 : x
  2. Step 2: Convert to fraction form
    512,738.47/707,593.35 = 283,310.54/x
  3. Step 3: Cross multiply
    512,738.47x = 707,593.35 × 283,310.54
  4. Step 4: Simplify right side
    512,738.47x = 200,468,654,088.91
  5. Step 5: Solve for x
    x = 200,468,654,088.91/512,738.47
  6. Step 6: Final answer
    x = 390,976.43

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