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Finding the Fourth Proportional to 361,942.14, 499,480.77 and 200,797.20

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Solution

The fourth proportional to 361,942.14, 499,480.77 and 200,797.20 is: 277,100.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,942.14 : 499,480.77 = 200,797.20 : x
  2. Step 2: Convert to fraction form
    361,942.14/499,480.77 = 200,797.20/x
  3. Step 3: Cross multiply
    361,942.14x = 499,480.77 × 200,797.20
  4. Step 4: Simplify right side
    361,942.14x = 100,294,340,069.84
  5. Step 5: Solve for x
    x = 100,294,340,069.84/361,942.14
  6. Step 6: Final answer
    x = 277,100.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.