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Finding the Fourth Proportional to 275,042.28, 413,194.92 and 194,175.28

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Solution

The fourth proportional to 275,042.28, 413,194.92 and 194,175.28 is: 291,708.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,042.28 : 413,194.92 = 194,175.28 : x
  2. Step 2: Convert to fraction form
    275,042.28/413,194.92 = 194,175.28/x
  3. Step 3: Cross multiply
    275,042.28x = 413,194.92 × 194,175.28
  4. Step 4: Simplify right side
    275,042.28x = 80,232,239,285.58
  5. Step 5: Solve for x
    x = 80,232,239,285.58/275,042.28
  6. Step 6: Final answer
    x = 291,708.75

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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.