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Finding the Fourth Proportional to 361,843.83, 499,404.27 and 200,750.78

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Solution

The fourth proportional to 361,843.83, 499,404.27 and 200,750.78 is: 277,069.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,843.83 : 499,404.27 = 200,750.78 : x
  2. Step 2: Convert to fraction form
    361,843.83/499,404.27 = 200,750.78/x
  3. Step 3: Cross multiply
    361,843.83x = 499,404.27 × 200,750.78
  4. Step 4: Simplify right side
    361,843.83x = 100,255,794,240.81
  5. Step 5: Solve for x
    x = 100,255,794,240.81/361,843.83
  6. Step 6: Final answer
    x = 277,069.24

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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.