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Finding the Fourth Proportional to 394,098.72, 591,231.11 and 127,838.45

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Solution

The fourth proportional to 394,098.72, 591,231.11 and 127,838.45 is: 191,784.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,098.72 : 591,231.11 = 127,838.45 : x
  2. Step 2: Convert to fraction form
    394,098.72/591,231.11 = 127,838.45/x
  3. Step 3: Cross multiply
    394,098.72x = 591,231.11 × 127,838.45
  4. Step 4: Simplify right side
    394,098.72x = 75,582,065,098.83
  5. Step 5: Solve for x
    x = 75,582,065,098.83/394,098.72
  6. Step 6: Final answer
    x = 191,784.60

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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.