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Finding the Fourth Proportional to 327,204.92, 490,818.36 and 90,527.78

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Solution

The fourth proportional to 327,204.92, 490,818.36 and 90,527.78 is: 135,794.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,204.92 : 490,818.36 = 90,527.78 : x
  2. Step 2: Convert to fraction form
    327,204.92/490,818.36 = 90,527.78/x
  3. Step 3: Cross multiply
    327,204.92x = 490,818.36 × 90,527.78
  4. Step 4: Simplify right side
    327,204.92x = 44,432,696,514.04
  5. Step 5: Solve for x
    x = 44,432,696,514.04/327,204.92
  6. Step 6: Final answer
    x = 135,794.71

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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.