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Finding the Fourth Proportional to 311,692.96, 467,424.62 and 111,959.72

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Solution

The fourth proportional to 311,692.96, 467,424.62 and 111,959.72 is: 167,898.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,692.96 : 467,424.62 = 111,959.72 : x
  2. Step 2: Convert to fraction form
    311,692.96/467,424.62 = 111,959.72/x
  3. Step 3: Cross multiply
    311,692.96x = 467,424.62 × 111,959.72
  4. Step 4: Simplify right side
    311,692.96x = 52,332,726,679.38
  5. Step 5: Solve for x
    x = 52,332,726,679.38/311,692.96
  6. Step 6: Final answer
    x = 167,898.33

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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.