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Finding the Fourth Proportional to 394,322.92, 591,582.78 and 113,840.17

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Solution

The fourth proportional to 394,322.92, 591,582.78 and 113,840.17 is: 170,788.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,322.92 : 591,582.78 = 113,840.17 : x
  2. Step 2: Convert to fraction form
    394,322.92/591,582.78 = 113,840.17/x
  3. Step 3: Cross multiply
    394,322.92x = 591,582.78 × 113,840.17
  4. Step 4: Simplify right side
    394,322.92x = 67,345,882,765.32
  5. Step 5: Solve for x
    x = 67,345,882,765.32/394,322.92
  6. Step 6: Final answer
    x = 170,788.66

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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.