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Finding the Fourth Proportional to 311,092.47, 466,791.19 and 111,428.28

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Solution

The fourth proportional to 311,092.47, 466,791.19 and 111,428.28 is: 167,197.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,092.47 : 466,791.19 = 111,428.28 : x
  2. Step 2: Convert to fraction form
    311,092.47/466,791.19 = 111,428.28/x
  3. Step 3: Cross multiply
    311,092.47x = 466,791.19 × 111,428.28
  4. Step 4: Simplify right side
    311,092.47x = 52,013,739,142.28
  5. Step 5: Solve for x
    x = 52,013,739,142.28/311,092.47
  6. Step 6: Final answer
    x = 167,197.04

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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.