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Finding the Fourth Proportional to 361,890.83, 499,469.14 and 200,797.77

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Solution

The fourth proportional to 361,890.83, 499,469.14 and 200,797.77 is: 277,134.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,890.83 : 499,469.14 = 200,797.77 : x
  2. Step 2: Convert to fraction form
    361,890.83/499,469.14 = 200,797.77/x
  3. Step 3: Cross multiply
    361,890.83x = 499,469.14 × 200,797.77
  4. Step 4: Simplify right side
    361,890.83x = 100,292,288,993.82
  5. Step 5: Solve for x
    x = 100,292,288,993.82/361,890.83
  6. Step 6: Final answer
    x = 277,134.10

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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.