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Finding the Fourth Proportional to 502,522.92, 693,540.64 and 298,575.52

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Solution

The fourth proportional to 502,522.92, 693,540.64 and 298,575.52 is: 412,069.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,522.92 : 693,540.64 = 298,575.52 : x
  2. Step 2: Convert to fraction form
    502,522.92/693,540.64 = 298,575.52/x
  3. Step 3: Cross multiply
    502,522.92x = 693,540.64 × 298,575.52
  4. Step 4: Simplify right side
    502,522.92x = 207,074,257,229.13
  5. Step 5: Solve for x
    x = 207,074,257,229.13/502,522.92
  6. Step 6: Final answer
    x = 412,069.28

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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.