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Finding the Fourth Proportional to 394,788.70, 592,219.22 and 110,478.44

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Solution

The fourth proportional to 394,788.70, 592,219.22 and 110,478.44 is: 165,727.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,788.70 : 592,219.22 = 110,478.44 : x
  2. Step 2: Convert to fraction form
    394,788.70/592,219.22 = 110,478.44/x
  3. Step 3: Cross multiply
    394,788.70x = 592,219.22 × 110,478.44
  4. Step 4: Simplify right side
    394,788.70x = 65,427,455,563.62
  5. Step 5: Solve for x
    x = 65,427,455,563.62/394,788.70
  6. Step 6: Final answer
    x = 165,727.78

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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.