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Finding the Fourth Proportional to 361,715.69, 499,165.64 and 200,594.54

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Solution

The fourth proportional to 361,715.69, 499,165.64 and 200,594.54 is: 276,819.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,715.69 : 499,165.64 = 200,594.54 : x
  2. Step 2: Convert to fraction form
    361,715.69/499,165.64 = 200,594.54/x
  3. Step 3: Cross multiply
    361,715.69x = 499,165.64 × 200,594.54
  4. Step 4: Simplify right side
    361,715.69x = 100,129,902,936.78
  5. Step 5: Solve for x
    x = 100,129,902,936.78/361,715.69
  6. Step 6: Final answer
    x = 276,819.35

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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.