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Finding the Fourth Proportional to 278,169.44, 416,220.19 and 165,910.73

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Solution

The fourth proportional to 278,169.44, 416,220.19 and 165,910.73 is: 248,249.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,169.44 : 416,220.19 = 165,910.73 : x
  2. Step 2: Convert to fraction form
    278,169.44/416,220.19 = 165,910.73/x
  3. Step 3: Cross multiply
    278,169.44x = 416,220.19 × 165,910.73
  4. Step 4: Simplify right side
    278,169.44x = 69,055,393,067.76
  5. Step 5: Solve for x
    x = 69,055,393,067.76/278,169.44
  6. Step 6: Final answer
    x = 248,249.39

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1.5x scale

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.