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Finding the Fourth Proportional to 276,431.38, 381,593.01 and 185,839.89

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Solution

The fourth proportional to 276,431.38, 381,593.01 and 185,839.89 is: 256,538.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,431.38 : 381,593.01 = 185,839.89 : x
  2. Step 2: Convert to fraction form
    276,431.38/381,593.01 = 185,839.89/x
  3. Step 3: Cross multiply
    276,431.38x = 381,593.01 × 185,839.89
  4. Step 4: Simplify right side
    276,431.38x = 70,915,203,003.17
  5. Step 5: Solve for x
    x = 70,915,203,003.17/276,431.38
  6. Step 6: Final answer
    x = 256,538.18

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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.