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Finding the Fourth Proportional to 311,692.46, 467,423.87 and 111,959.21

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Solution

The fourth proportional to 311,692.46, 467,423.87 and 111,959.21 is: 167,897.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,692.46 : 467,423.87 = 111,959.21 : x
  2. Step 2: Convert to fraction form
    311,692.46/467,423.87 = 111,959.21/x
  3. Step 3: Cross multiply
    311,692.46x = 467,423.87 × 111,959.21
  4. Step 4: Simplify right side
    311,692.46x = 52,332,407,829.11
  5. Step 5: Solve for x
    x = 52,332,407,829.11/311,692.46
  6. Step 6: Final answer
    x = 167,897.58

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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.