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Finding the Fourth Proportional to 274,209.23, 411,147.77 and 179,324.88

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Solution

The fourth proportional to 274,209.23, 411,147.77 and 179,324.88 is: 268,878.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,209.23 : 411,147.77 = 179,324.88 : x
  2. Step 2: Convert to fraction form
    274,209.23/411,147.77 = 179,324.88/x
  3. Step 3: Cross multiply
    274,209.23x = 411,147.77 × 179,324.88
  4. Step 4: Simplify right side
    274,209.23x = 73,729,023,620.89
  5. Step 5: Solve for x
    x = 73,729,023,620.89/274,209.23
  6. Step 6: Final answer
    x = 268,878.71

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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.