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Finding the Fourth Proportional to 311,540.28, 429,934.50 and 173,722.38

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Solution

The fourth proportional to 311,540.28, 429,934.50 and 173,722.38 is: 239,741.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,540.28 : 429,934.50 = 173,722.38 : x
  2. Step 2: Convert to fraction form
    311,540.28/429,934.50 = 173,722.38/x
  3. Step 3: Cross multiply
    311,540.28x = 429,934.50 × 173,722.38
  4. Step 4: Simplify right side
    311,540.28x = 74,689,244,584.11
  5. Step 5: Solve for x
    x = 74,689,244,584.11/311,540.28
  6. Step 6: Final answer
    x = 239,741.85

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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.