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Finding the Fourth Proportional to 394,119.72, 543,690.36 and 232,896.78

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Solution

The fourth proportional to 394,119.72, 543,690.36 and 232,896.78 is: 321,282.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,119.72 : 543,690.36 = 232,896.78 : x
  2. Step 2: Convert to fraction form
    394,119.72/543,690.36 = 232,896.78/x
  3. Step 3: Cross multiply
    394,119.72x = 543,690.36 × 232,896.78
  4. Step 4: Simplify right side
    394,119.72x = 126,623,734,161.04
  5. Step 5: Solve for x
    x = 126,623,734,161.04/394,119.72
  6. Step 6: Final answer
    x = 321,282.41

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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.