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Finding the Fourth Proportional to 339,817.92, 509,441.76 and 150,247.68

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Solution

The fourth proportional to 339,817.92, 509,441.76 and 150,247.68 is: 225,245.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,817.92 : 509,441.76 = 150,247.68 : x
  2. Step 2: Convert to fraction form
    339,817.92/509,441.76 = 150,247.68/x
  3. Step 3: Cross multiply
    339,817.92x = 509,441.76 × 150,247.68
  4. Step 4: Simplify right side
    339,817.92x = 76,542,442,535.12
  5. Step 5: Solve for x
    x = 76,542,442,535.12/339,817.92
  6. Step 6: Final answer
    x = 225,245.46

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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.