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Finding the Fourth Proportional to 361,789.70, 499,299.68 and 200,696.70

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Solution

The fourth proportional to 361,789.70, 499,299.68 and 200,696.70 is: 276,978.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,789.70 : 499,299.68 = 200,696.70 : x
  2. Step 2: Convert to fraction form
    361,789.70/499,299.68 = 200,696.70/x
  3. Step 3: Cross multiply
    361,789.70x = 499,299.68 × 200,696.70
  4. Step 4: Simplify right side
    361,789.70x = 100,207,798,087.06
  5. Step 5: Solve for x
    x = 100,207,798,087.06/361,789.70
  6. Step 6: Final answer
    x = 276,978.03

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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.