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Finding the Fourth Proportional to 232,423.20, 347,978.70 and 225,862.20

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Solution

The fourth proportional to 232,423.20, 347,978.70 and 225,862.20 is: 338,155.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,423.20 : 347,978.70 = 225,862.20 : x
  2. Step 2: Convert to fraction form
    232,423.20/347,978.70 = 225,862.20/x
  3. Step 3: Cross multiply
    232,423.20x = 347,978.70 × 225,862.20
  4. Step 4: Simplify right side
    232,423.20x = 78,595,234,735.14
  5. Step 5: Solve for x
    x = 78,595,234,735.14/232,423.20
  6. Step 6: Final answer
    x = 338,155.72

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1.5x scale

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.