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Finding the Fourth Proportional to 490,163.20, 735,244.80 and 279,822.40

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Solution

The fourth proportional to 490,163.20, 735,244.80 and 279,822.40 is: 419,733.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,163.20 : 735,244.80 = 279,822.40 : x
  2. Step 2: Convert to fraction form
    490,163.20/735,244.80 = 279,822.40/x
  3. Step 3: Cross multiply
    490,163.20x = 735,244.80 × 279,822.40
  4. Step 4: Simplify right side
    490,163.20x = 205,737,964,523.52
  5. Step 5: Solve for x
    x = 205,737,964,523.52/490,163.20
  6. Step 6: Final answer
    x = 419,733.60

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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.