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Finding the Fourth Proportional to 361,844.85, 499,405.69 and 200,751.80

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Solution

The fourth proportional to 361,844.85, 499,405.69 and 200,751.80 is: 277,070.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,844.85 : 499,405.69 = 200,751.80 : x
  2. Step 2: Convert to fraction form
    361,844.85/499,405.69 = 200,751.80/x
  3. Step 3: Cross multiply
    361,844.85x = 499,405.69 × 200,751.80
  4. Step 4: Simplify right side
    361,844.85x = 100,256,588,198.83
  5. Step 5: Solve for x
    x = 100,256,588,198.83/361,844.85
  6. Step 6: Final answer
    x = 277,070.65

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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.