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Finding the Fourth Proportional to 327,857.49, 452,431.17 and 182,659.86

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Solution

The fourth proportional to 327,857.49, 452,431.17 and 182,659.86 is: 252,063.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,857.49 : 452,431.17 = 182,659.86 : x
  2. Step 2: Convert to fraction form
    327,857.49/452,431.17 = 182,659.86/x
  3. Step 3: Cross multiply
    327,857.49x = 452,431.17 × 182,659.86
  4. Step 4: Simplify right side
    327,857.49x = 82,641,014,171.84
  5. Step 5: Solve for x
    x = 82,641,014,171.84/327,857.49
  6. Step 6: Final answer
    x = 252,063.83

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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.