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Finding the Fourth Proportional to 381,877.38, 571,944.11 and 182,337.84

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Solution

The fourth proportional to 381,877.38, 571,944.11 and 182,337.84 is: 273,090.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,877.38 : 571,944.11 = 182,337.84 : x
  2. Step 2: Convert to fraction form
    381,877.38/571,944.11 = 182,337.84/x
  3. Step 3: Cross multiply
    381,877.38x = 571,944.11 × 182,337.84
  4. Step 4: Simplify right side
    381,877.38x = 104,287,052,706.43
  5. Step 5: Solve for x
    x = 104,287,052,706.43/381,877.38
  6. Step 6: Final answer
    x = 273,090.42

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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.