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Finding the Fourth Proportional to 226,581.84, 339,609.24 and 200,337.84

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Solution

The fourth proportional to 226,581.84, 339,609.24 and 200,337.84 is: 300,273.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,581.84 : 339,609.24 = 200,337.84 : x
  2. Step 2: Convert to fraction form
    226,581.84/339,609.24 = 200,337.84/x
  3. Step 3: Cross multiply
    226,581.84x = 339,609.24 × 200,337.84
  4. Step 4: Simplify right side
    226,581.84x = 68,036,581,585.64
  5. Step 5: Solve for x
    x = 68,036,581,585.64/226,581.84
  6. Step 6: Final answer
    x = 300,273.76

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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.