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Finding the Fourth Proportional to 502,512.72, 693,494.15 and 284,763.60

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Solution

The fourth proportional to 502,512.72, 693,494.15 and 284,763.60 is: 392,988.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,512.72 : 693,494.15 = 284,763.60 : x
  2. Step 2: Convert to fraction form
    502,512.72/693,494.15 = 284,763.60/x
  3. Step 3: Cross multiply
    502,512.72x = 693,494.15 × 284,763.60
  4. Step 4: Simplify right side
    502,512.72x = 197,481,889,309.12
  5. Step 5: Solve for x
    x = 197,481,889,309.12/502,512.72
  6. Step 6: Final answer
    x = 392,988.84

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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.