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Finding the Fourth Proportional to 311,844.60, 467,766.90 and 112,195.80

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Solution

The fourth proportional to 311,844.60, 467,766.90 and 112,195.80 is: 168,293.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,844.60 : 467,766.90 = 112,195.80 : x
  2. Step 2: Convert to fraction form
    311,844.60/467,766.90 = 112,195.80/x
  3. Step 3: Cross multiply
    311,844.60x = 467,766.90 × 112,195.80
  4. Step 4: Simplify right side
    311,844.60x = 52,481,481,559.02
  5. Step 5: Solve for x
    x = 52,481,481,559.02/311,844.60
  6. Step 6: Final answer
    x = 168,293.70

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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.