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Finding the Fourth Proportional to 502,517.55, 693,500.76 and 284,768.40

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Solution

The fourth proportional to 502,517.55, 693,500.76 and 284,768.40 is: 392,995.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,517.55 : 693,500.76 = 284,768.40 : x
  2. Step 2: Convert to fraction form
    502,517.55/693,500.76 = 284,768.40/x
  3. Step 3: Cross multiply
    502,517.55x = 693,500.76 × 284,768.40
  4. Step 4: Simplify right side
    502,517.55x = 197,487,101,823.98
  5. Step 5: Solve for x
    x = 197,487,101,823.98/502,517.55
  6. Step 6: Final answer
    x = 392,995.43

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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.