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Finding the Fourth Proportional to 327,203.92, 490,816.82 and 90,526.78

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Solution

The fourth proportional to 327,203.92, 490,816.82 and 90,526.78 is: 135,793.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,203.92 : 490,816.82 = 90,526.78 : x
  2. Step 2: Convert to fraction form
    327,203.92/490,816.82 = 90,526.78/x
  3. Step 3: Cross multiply
    327,203.92x = 490,816.82 × 90,526.78
  4. Step 4: Simplify right side
    327,203.92x = 44,432,066,284.44
  5. Step 5: Solve for x
    x = 44,432,066,284.44/327,203.92
  6. Step 6: Final answer
    x = 135,793.20

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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.