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Finding the Fourth Proportional to 512,734.71, 707,588.17 and 283,306.78

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Solution

The fourth proportional to 512,734.71, 707,588.17 and 283,306.78 is: 390,971.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,734.71 : 707,588.17 = 283,306.78 : x
  2. Step 2: Convert to fraction form
    512,734.71/707,588.17 = 283,306.78/x
  3. Step 3: Cross multiply
    512,734.71x = 707,588.17 × 283,306.78
  4. Step 4: Simplify right side
    512,734.71x = 200,464,527,247.41
  5. Step 5: Solve for x
    x = 200,464,527,247.41/512,734.71
  6. Step 6: Final answer
    x = 390,971.24

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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.