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Finding the Fourth Proportional to 393,951.72, 591,112.13 and 194,163.20

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Solution

The fourth proportional to 393,951.72, 591,112.13 and 194,163.20 is: 291,335.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,951.72 : 591,112.13 = 194,163.20 : x
  2. Step 2: Convert to fraction form
    393,951.72/591,112.13 = 194,163.20/x
  3. Step 3: Cross multiply
    393,951.72x = 591,112.13 × 194,163.20
  4. Step 4: Simplify right side
    393,951.72x = 114,772,218,793.24
  5. Step 5: Solve for x
    x = 114,772,218,793.24/393,951.72
  6. Step 6: Final answer
    x = 291,335.75

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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.