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Finding the Fourth Proportional to 361,711.53, 499,167.90 and 200,573.37

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Solution

The fourth proportional to 361,711.53, 499,167.90 and 200,573.37 is: 276,794.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,711.53 : 499,167.90 = 200,573.37 : x
  2. Step 2: Convert to fraction form
    361,711.53/499,167.90 = 200,573.37/x
  3. Step 3: Cross multiply
    361,711.53x = 499,167.90 × 200,573.37
  4. Step 4: Simplify right side
    361,711.53x = 100,119,787,898.82
  5. Step 5: Solve for x
    x = 100,119,787,898.82/361,711.53
  6. Step 6: Final answer
    x = 276,794.57

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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.