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Finding the Fourth Proportional to 274,542.52, 411,884.76 and 160,786.48

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Solution

The fourth proportional to 274,542.52, 411,884.76 and 160,786.48 is: 241,221.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,542.52 : 411,884.76 = 160,786.48 : x
  2. Step 2: Convert to fraction form
    274,542.52/411,884.76 = 160,786.48/x
  3. Step 3: Cross multiply
    274,542.52x = 411,884.76 × 160,786.48
  4. Step 4: Simplify right side
    274,542.52x = 66,225,500,726.04
  5. Step 5: Solve for x
    x = 66,225,500,726.04/274,542.52
  6. Step 6: Final answer
    x = 241,221.29

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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.