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Finding the Fourth Proportional to 311,123.06, 429,170.92 and 196,360.92

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Solution

The fourth proportional to 311,123.06, 429,170.92 and 196,360.92 is: 270,865.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,123.06 : 429,170.92 = 196,360.92 : x
  2. Step 2: Convert to fraction form
    311,123.06/429,170.92 = 196,360.92/x
  3. Step 3: Cross multiply
    311,123.06x = 429,170.92 × 196,360.92
  4. Step 4: Simplify right side
    311,123.06x = 84,272,396,197.54
  5. Step 5: Solve for x
    x = 84,272,396,197.54/311,123.06
  6. Step 6: Final answer
    x = 270,865.16

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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.