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Finding the Fourth Proportional to 340,223.38, 469,351.20 and 204,021.10

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Solution

The fourth proportional to 340,223.38, 469,351.20 and 204,021.10 is: 281,454.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,223.38 : 469,351.20 = 204,021.10 : x
  2. Step 2: Convert to fraction form
    340,223.38/469,351.20 = 204,021.10/x
  3. Step 3: Cross multiply
    340,223.38x = 469,351.20 × 204,021.10
  4. Step 4: Simplify right side
    340,223.38x = 95,757,548,110.32
  5. Step 5: Solve for x
    x = 95,757,548,110.32/340,223.38
  6. Step 6: Final answer
    x = 281,454.93

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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.