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Finding the Fourth Proportional to 427,433.20, 641,149.80 and 178,082.80

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Solution

The fourth proportional to 427,433.20, 641,149.80 and 178,082.80 is: 267,124.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,433.20 : 641,149.80 = 178,082.80 : x
  2. Step 2: Convert to fraction form
    427,433.20/641,149.80 = 178,082.80/x
  3. Step 3: Cross multiply
    427,433.20x = 641,149.80 × 178,082.80
  4. Step 4: Simplify right side
    427,433.20x = 114,177,751,603.44
  5. Step 5: Solve for x
    x = 114,177,751,603.44/427,433.20
  6. Step 6: Final answer
    x = 267,124.20

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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.