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Finding the Fourth Proportional to 482,082.78, 665,204.40 and 267,222.78

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Solution

The fourth proportional to 482,082.78, 665,204.40 and 267,222.78 is: 368,728.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,082.78 : 665,204.40 = 267,222.78 : x
  2. Step 2: Convert to fraction form
    482,082.78/665,204.40 = 267,222.78/x
  3. Step 3: Cross multiply
    482,082.78x = 665,204.40 × 267,222.78
  4. Step 4: Simplify right side
    482,082.78x = 177,757,769,036.23
  5. Step 5: Solve for x
    x = 177,757,769,036.23/482,082.78
  6. Step 6: Final answer
    x = 368,728.73

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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.