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Finding the Fourth Proportional to 482,082.49, 723,019.92 and 197,493.97

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Solution

The fourth proportional to 482,082.49, 723,019.92 and 197,493.97 is: 296,198.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,082.49 : 723,019.92 = 197,493.97 : x
  2. Step 2: Convert to fraction form
    482,082.49/723,019.92 = 197,493.97/x
  3. Step 3: Cross multiply
    482,082.49x = 723,019.92 × 197,493.97
  4. Step 4: Simplify right side
    482,082.49x = 142,792,074,389.88
  5. Step 5: Solve for x
    x = 142,792,074,389.88/482,082.49
  6. Step 6: Final answer
    x = 296,198.43

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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.