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Finding the Fourth Proportional to 512,956.19, 707,892.89 and 283,517.10

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Solution

The fourth proportional to 512,956.19, 707,892.89 and 283,517.10 is: 391,260.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,956.19 : 707,892.89 = 283,517.10 : x
  2. Step 2: Convert to fraction form
    512,956.19/707,892.89 = 283,517.10/x
  3. Step 3: Cross multiply
    512,956.19x = 707,892.89 × 283,517.10
  4. Step 4: Simplify right side
    512,956.19x = 200,699,739,486.80
  5. Step 5: Solve for x
    x = 200,699,739,486.80/512,956.19
  6. Step 6: Final answer
    x = 391,260.97

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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.