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Finding the Fourth Proportional to 226,782.80, 339,764.60 and 200,568.40

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Solution

The fourth proportional to 226,782.80, 339,764.60 and 200,568.40 is: 300,490.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,782.80 : 339,764.60 = 200,568.40 : x
  2. Step 2: Convert to fraction form
    226,782.80/339,764.60 = 200,568.40/x
  3. Step 3: Cross multiply
    226,782.80x = 339,764.60 × 200,568.40
  4. Step 4: Simplify right side
    226,782.80x = 68,146,042,198.64
  5. Step 5: Solve for x
    x = 68,146,042,198.64/226,782.80
  6. Step 6: Final answer
    x = 300,490.35

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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.