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Finding the Fourth Proportional to 278,874.40, 418,311.60 and 253,942.60

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Solution

The fourth proportional to 278,874.40, 418,311.60 and 253,942.60 is: 380,913.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,874.40 : 418,311.60 = 253,942.60 : x
  2. Step 2: Convert to fraction form
    278,874.40/418,311.60 = 253,942.60/x
  3. Step 3: Cross multiply
    278,874.40x = 418,311.60 × 253,942.60
  4. Step 4: Simplify right side
    278,874.40x = 106,227,135,314.16
  5. Step 5: Solve for x
    x = 106,227,135,314.16/278,874.40
  6. Step 6: Final answer
    x = 380,913.90

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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.