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Finding the Fourth Proportional to 361,794.11, 499,305.80 and 200,701.20

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Solution

The fourth proportional to 361,794.11, 499,305.80 and 200,701.20 is: 276,984.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,794.11 : 499,305.80 = 200,701.20 : x
  2. Step 2: Convert to fraction form
    361,794.11/499,305.80 = 200,701.20/x
  3. Step 3: Cross multiply
    361,794.11x = 499,305.80 × 200,701.20
  4. Step 4: Simplify right side
    361,794.11x = 100,211,272,223.45
  5. Step 5: Solve for x
    x = 100,211,272,223.45/361,794.11
  6. Step 6: Final answer
    x = 276,984.26

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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.