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Finding the Fourth Proportional to 311,195.40, 466,793.10 and 277,734.30

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Solution

The fourth proportional to 311,195.40, 466,793.10 and 277,734.30 is: 416,601.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,195.40 : 466,793.10 = 277,734.30 : x
  2. Step 2: Convert to fraction form
    311,195.40/466,793.10 = 277,734.30/x
  3. Step 3: Cross multiply
    311,195.40x = 466,793.10 × 277,734.30
  4. Step 4: Simplify right side
    311,195.40x = 129,644,454,873.33
  5. Step 5: Solve for x
    x = 129,644,454,873.33/311,195.40
  6. Step 6: Final answer
    x = 416,601.45

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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.