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Finding the Fourth Proportional to 327,000.29, 490,624.97 and 113,791.89

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Solution

The fourth proportional to 327,000.29, 490,624.97 and 113,791.89 is: 170,731.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,000.29 : 490,624.97 = 113,791.89 : x
  2. Step 2: Convert to fraction form
    327,000.29/490,624.97 = 113,791.89/x
  3. Step 3: Cross multiply
    327,000.29x = 490,624.97 × 113,791.89
  4. Step 4: Simplify right side
    327,000.29x = 55,829,142,048.53
  5. Step 5: Solve for x
    x = 55,829,142,048.53/327,000.29
  6. Step 6: Final answer
    x = 170,731.17

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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.