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Finding the Fourth Proportional to 395,704.27, 593,491.20 and 111,414.52

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Solution

The fourth proportional to 395,704.27, 593,491.20 and 111,414.52 is: 167,103.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,704.27 : 593,491.20 = 111,414.52 : x
  2. Step 2: Convert to fraction form
    395,704.27/593,491.20 = 111,414.52/x
  3. Step 3: Cross multiply
    395,704.27x = 593,491.20 × 111,414.52
  4. Step 4: Simplify right side
    395,704.27x = 66,123,537,172.22
  5. Step 5: Solve for x
    x = 66,123,537,172.22/395,704.27
  6. Step 6: Final answer
    x = 167,103.42

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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.