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Finding the Fourth Proportional to 311,197.12, 429,454.60 and 177,069.76

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Solution

The fourth proportional to 311,197.12, 429,454.60 and 177,069.76 is: 244,357.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,197.12 : 429,454.60 = 177,069.76 : x
  2. Step 2: Convert to fraction form
    311,197.12/429,454.60 = 177,069.76/x
  3. Step 3: Cross multiply
    311,197.12x = 429,454.60 × 177,069.76
  4. Step 4: Simplify right side
    311,197.12x = 76,043,422,952.90
  5. Step 5: Solve for x
    x = 76,043,422,952.90/311,197.12
  6. Step 6: Final answer
    x = 244,357.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.