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Finding the Fourth Proportional to 415,469.20, 622,282.20 and 166,022.80

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Solution

The fourth proportional to 415,469.20, 622,282.20 and 166,022.80 is: 248,665.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,469.20 : 622,282.20 = 166,022.80 : x
  2. Step 2: Convert to fraction form
    415,469.20/622,282.20 = 166,022.80/x
  3. Step 3: Cross multiply
    415,469.20x = 622,282.20 × 166,022.80
  4. Step 4: Simplify right side
    415,469.20x = 103,313,033,234.16
  5. Step 5: Solve for x
    x = 103,313,033,234.16/415,469.20
  6. Step 6: Final answer
    x = 248,665.93

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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.