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Finding the Fourth Proportional to 427,474.20, 641,211.30 and 178,123.80

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Solution

The fourth proportional to 427,474.20, 641,211.30 and 178,123.80 is: 267,185.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,474.20 : 641,211.30 = 178,123.80 : x
  2. Step 2: Convert to fraction form
    427,474.20/641,211.30 = 178,123.80/x
  3. Step 3: Cross multiply
    427,474.20x = 641,211.30 × 178,123.80
  4. Step 4: Simplify right side
    427,474.20x = 114,214,993,358.94
  5. Step 5: Solve for x
    x = 114,214,993,358.94/427,474.20
  6. Step 6: Final answer
    x = 267,185.70

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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.