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Finding the Fourth Proportional to 381,754.20, 571,758.92 and 182,214.66

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Solution

The fourth proportional to 381,754.20, 571,758.92 and 182,214.66 is: 272,905.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,754.20 : 571,758.92 = 182,214.66 : x
  2. Step 2: Convert to fraction form
    381,754.20/571,758.92 = 182,214.66/x
  3. Step 3: Cross multiply
    381,754.20x = 571,758.92 × 182,214.66
  4. Step 4: Simplify right side
    381,754.20x = 104,182,857,209.77
  5. Step 5: Solve for x
    x = 104,182,857,209.77/381,754.20
  6. Step 6: Final answer
    x = 272,905.60

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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.