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Finding the Fourth Proportional to 362,082.59, 499,691.01 and 200,938.97

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Solution

The fourth proportional to 362,082.59, 499,691.01 and 200,938.97 is: 277,305.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,082.59 : 499,691.01 = 200,938.97 : x
  2. Step 2: Convert to fraction form
    362,082.59/499,691.01 = 200,938.97/x
  3. Step 3: Cross multiply
    362,082.59x = 499,691.01 × 200,938.97
  4. Step 4: Simplify right side
    362,082.59x = 100,407,394,369.21
  5. Step 5: Solve for x
    x = 100,407,394,369.21/362,082.59
  6. Step 6: Final answer
    x = 277,305.23

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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.