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Finding the Fourth Proportional to 394,483.76, 591,143.24 and 180,724.35

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Solution

The fourth proportional to 394,483.76, 591,143.24 and 180,724.35 is: 270,819.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,483.76 : 591,143.24 = 180,724.35 : x
  2. Step 2: Convert to fraction form
    394,483.76/591,143.24 = 180,724.35/x
  3. Step 3: Cross multiply
    394,483.76x = 591,143.24 × 180,724.35
  4. Step 4: Simplify right side
    394,483.76x = 106,833,976,902.27
  5. Step 5: Solve for x
    x = 106,833,976,902.27/394,483.76
  6. Step 6: Final answer
    x = 270,819.71

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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.