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Finding the Fourth Proportional to 311,229.12, 466,745.76 and 100,818.24

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Solution

The fourth proportional to 311,229.12, 466,745.76 and 100,818.24 is: 151,195.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,229.12 : 466,745.76 = 100,818.24 : x
  2. Step 2: Convert to fraction form
    311,229.12/466,745.76 = 100,818.24/x
  3. Step 3: Cross multiply
    311,229.12x = 466,745.76 × 100,818.24
  4. Step 4: Simplify right side
    311,229.12x = 47,056,486,050.66
  5. Step 5: Solve for x
    x = 47,056,486,050.66/311,229.12
  6. Step 6: Final answer
    x = 151,195.64

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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.