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Finding the Fourth Proportional to 378,103.42, 567,321.94 and 200,566.92

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Solution

The fourth proportional to 378,103.42, 567,321.94 and 200,566.92 is: 300,938.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,103.42 : 567,321.94 = 200,566.92 : x
  2. Step 2: Convert to fraction form
    378,103.42/567,321.94 = 200,566.92/x
  3. Step 3: Cross multiply
    378,103.42x = 567,321.94 × 200,566.92
  4. Step 4: Simplify right side
    378,103.42x = 113,786,014,154.23
  5. Step 5: Solve for x
    x = 113,786,014,154.23/378,103.42
  6. Step 6: Final answer
    x = 300,938.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.