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Finding the Fourth Proportional to 502,517, 754,121.10 and 207,029

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Solution

The fourth proportional to 502,517, 754,121.10 and 207,029 is: 310,685.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,517 : 754,121.10 = 207,029 : x
  2. Step 2: Convert to fraction form
    502,517/754,121.10 = 207,029/x
  3. Step 3: Cross multiply
    502,517x = 754,121.10 × 207,029
  4. Step 4: Simplify right side
    502,517x = 156,124,937,211.90
  5. Step 5: Solve for x
    x = 156,124,937,211.90/502,517
  6. Step 6: Final answer
    x = 310,685.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.