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Finding the Fourth Proportional to 311,311.20, 467,112.60 and 161,720.40

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Solution

The fourth proportional to 311,311.20, 467,112.60 and 161,720.40 is: 242,656.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,311.20 : 467,112.60 = 161,720.40 : x
  2. Step 2: Convert to fraction form
    311,311.20/467,112.60 = 161,720.40/x
  3. Step 3: Cross multiply
    311,311.20x = 467,112.60 × 161,720.40
  4. Step 4: Simplify right side
    311,311.20x = 75,541,636,517.04
  5. Step 5: Solve for x
    x = 75,541,636,517.04/311,311.20
  6. Step 6: Final answer
    x = 242,656.34

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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.