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Finding the Fourth Proportional to 311,213.80, 466,769.22 and 111,504.52

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Solution

The fourth proportional to 311,213.80, 466,769.22 and 111,504.52 is: 167,238.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,213.80 : 466,769.22 = 111,504.52 : x
  2. Step 2: Convert to fraction form
    311,213.80/466,769.22 = 111,504.52/x
  3. Step 3: Cross multiply
    311,213.80x = 466,769.22 × 111,504.52
  4. Step 4: Simplify right side
    311,213.80x = 52,046,877,826.87
  5. Step 5: Solve for x
    x = 52,046,877,826.87/311,213.80
  6. Step 6: Final answer
    x = 167,238.34

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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.