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Finding the Fourth Proportional to 394,116.52, 591,174.49 and 127,877.03

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Solution

The fourth proportional to 394,116.52, 591,174.49 and 127,877.03 is: 191,815.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,116.52 : 591,174.49 = 127,877.03 : x
  2. Step 2: Convert to fraction form
    394,116.52/591,174.49 = 127,877.03/x
  3. Step 3: Cross multiply
    394,116.52x = 591,174.49 × 127,877.03
  4. Step 4: Simplify right side
    394,116.52x = 75,597,637,992.96
  5. Step 5: Solve for x
    x = 75,597,637,992.96/394,116.52
  6. Step 6: Final answer
    x = 191,815.45

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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.