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Finding the Fourth Proportional to 327,112.80, 490,168.46 and 220,100.44

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Solution

The fourth proportional to 327,112.80, 490,168.46 and 220,100.44 is: 329,813.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,112.80 : 490,168.46 = 220,100.44 : x
  2. Step 2: Convert to fraction form
    327,112.80/490,168.46 = 220,100.44/x
  3. Step 3: Cross multiply
    327,112.80x = 490,168.46 × 220,100.44
  4. Step 4: Simplify right side
    327,112.80x = 107,886,293,720.12
  5. Step 5: Solve for x
    x = 107,886,293,720.12/327,112.80
  6. Step 6: Final answer
    x = 329,813.73

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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.