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Finding the Fourth Proportional to 394,116.72, 543,686.22 and 232,893.78

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Solution

The fourth proportional to 394,116.72, 543,686.22 and 232,893.78 is: 321,278.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,116.72 : 543,686.22 = 232,893.78 : x
  2. Step 2: Convert to fraction form
    394,116.72/543,686.22 = 232,893.78/x
  3. Step 3: Cross multiply
    394,116.72x = 543,686.22 × 232,893.78
  4. Step 4: Simplify right side
    394,116.72x = 126,621,138,909.71
  5. Step 5: Solve for x
    x = 126,621,138,909.71/394,116.72
  6. Step 6: Final answer
    x = 321,278.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.