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Finding the Fourth Proportional to 394,179.80, 590,895.59 and 127,753.07

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Solution

The fourth proportional to 394,179.80, 590,895.59 and 127,753.07 is: 191,508.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,179.80 : 590,895.59 = 127,753.07 : x
  2. Step 2: Convert to fraction form
    394,179.80/590,895.59 = 127,753.07/x
  3. Step 3: Cross multiply
    394,179.80x = 590,895.59 × 127,753.07
  4. Step 4: Simplify right side
    394,179.80x = 75,488,722,078.72
  5. Step 5: Solve for x
    x = 75,488,722,078.72/394,179.80
  6. Step 6: Final answer
    x = 191,508.35

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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.