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Finding the Fourth Proportional to 327,095.20, 490,675.20 and 113,830.30

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Solution

The fourth proportional to 327,095.20, 490,675.20 and 113,830.30 is: 170,756.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,095.20 : 490,675.20 = 113,830.30 : x
  2. Step 2: Convert to fraction form
    327,095.20/490,675.20 = 113,830.30/x
  3. Step 3: Cross multiply
    327,095.20x = 490,675.20 × 113,830.30
  4. Step 4: Simplify right side
    327,095.20x = 55,853,705,218.56
  5. Step 5: Solve for x
    x = 55,853,705,218.56/327,095.20
  6. Step 6: Final answer
    x = 170,756.73

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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.