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Finding the Fourth Proportional to 275,519.44, 412,884.85 and 156,945.77

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Solution

The fourth proportional to 275,519.44, 412,884.85 and 156,945.77 is: 235,194.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,519.44 : 412,884.85 = 156,945.77 : x
  2. Step 2: Convert to fraction form
    275,519.44/412,884.85 = 156,945.77/x
  3. Step 3: Cross multiply
    275,519.44x = 412,884.85 × 156,945.77
  4. Step 4: Simplify right side
    275,519.44x = 64,800,530,704.58
  5. Step 5: Solve for x
    x = 64,800,530,704.58/275,519.44
  6. Step 6: Final answer
    x = 235,194.04

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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.