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Finding the Fourth Proportional to 327,306.89, 490,805.22 and 114,000.41

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Solution

The fourth proportional to 327,306.89, 490,805.22 and 114,000.41 is: 170,946.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,306.89 : 490,805.22 = 114,000.41 : x
  2. Step 2: Convert to fraction form
    327,306.89/490,805.22 = 114,000.41/x
  3. Step 3: Cross multiply
    327,306.89x = 490,805.22 × 114,000.41
  4. Step 4: Simplify right side
    327,306.89x = 55,951,996,310.14
  5. Step 5: Solve for x
    x = 55,951,996,310.14/327,306.89
  6. Step 6: Final answer
    x = 170,946.59

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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.