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Finding the Fourth Proportional to 363,914.26, 502,205.04 and 200,576.56

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Solution

The fourth proportional to 363,914.26, 502,205.04 and 200,576.56 is: 276,797.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,914.26 : 502,205.04 = 200,576.56 : x
  2. Step 2: Convert to fraction form
    363,914.26/502,205.04 = 200,576.56/x
  3. Step 3: Cross multiply
    363,914.26x = 502,205.04 × 200,576.56
  4. Step 4: Simplify right side
    363,914.26x = 100,730,559,337.86
  5. Step 5: Solve for x
    x = 100,730,559,337.86/363,914.26
  6. Step 6: Final answer
    x = 276,797.51

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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.