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Finding the Fourth Proportional to 323,233.60, 485,138.40 and 189,947.20

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Solution

The fourth proportional to 323,233.60, 485,138.40 and 189,947.20 is: 285,090.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,233.60 : 485,138.40 = 189,947.20 : x
  2. Step 2: Convert to fraction form
    323,233.60/485,138.40 = 189,947.20/x
  3. Step 3: Cross multiply
    323,233.60x = 485,138.40 × 189,947.20
  4. Step 4: Simplify right side
    323,233.60x = 92,150,680,692.48
  5. Step 5: Solve for x
    x = 92,150,680,692.48/323,233.60
  6. Step 6: Final answer
    x = 285,090.04

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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.