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Finding the Fourth Proportional to 394,059.50, 591,175.72 and 127,846.92

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Solution

The fourth proportional to 394,059.50, 591,175.72 and 127,846.92 is: 191,798.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,059.50 : 591,175.72 = 127,846.92 : x
  2. Step 2: Convert to fraction form
    394,059.50/591,175.72 = 127,846.92/x
  3. Step 3: Cross multiply
    394,059.50x = 591,175.72 × 127,846.92
  4. Step 4: Simplify right side
    394,059.50x = 75,579,994,980.78
  5. Step 5: Solve for x
    x = 75,579,994,980.78/394,059.50
  6. Step 6: Final answer
    x = 191,798.43

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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.