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Finding the Fourth Proportional to 311,892.86, 430,414.73 and 172,195.96

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Solution

The fourth proportional to 311,892.86, 430,414.73 and 172,195.96 is: 237,631.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,892.86 : 430,414.73 = 172,195.96 : x
  2. Step 2: Convert to fraction form
    311,892.86/430,414.73 = 172,195.96/x
  3. Step 3: Cross multiply
    311,892.86x = 430,414.73 × 172,195.96
  4. Step 4: Simplify right side
    311,892.86x = 74,115,677,146.24
  5. Step 5: Solve for x
    x = 74,115,677,146.24/311,892.86
  6. Step 6: Final answer
    x = 237,631.85

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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.