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Finding the Fourth Proportional to 327,002.80, 490,628.73 and 113,794.39

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Solution

The fourth proportional to 327,002.80, 490,628.73 and 113,794.39 is: 170,734.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,002.80 : 490,628.73 = 113,794.39 : x
  2. Step 2: Convert to fraction form
    327,002.80/490,628.73 = 113,794.39/x
  3. Step 3: Cross multiply
    327,002.80x = 490,628.73 × 113,794.39
  4. Step 4: Simplify right side
    327,002.80x = 55,830,797,046.82
  5. Step 5: Solve for x
    x = 55,830,797,046.82/327,002.80
  6. Step 6: Final answer
    x = 170,734.92

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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.