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Finding the Fourth Proportional to 414,738.60, 622,107.90 and 204,786.60

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Solution

The fourth proportional to 414,738.60, 622,107.90 and 204,786.60 is: 307,179.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,738.60 : 622,107.90 = 204,786.60 : x
  2. Step 2: Convert to fraction form
    414,738.60/622,107.90 = 204,786.60/x
  3. Step 3: Cross multiply
    414,738.60x = 622,107.90 × 204,786.60
  4. Step 4: Simplify right side
    414,738.60x = 127,399,361,674.14
  5. Step 5: Solve for x
    x = 127,399,361,674.14/414,738.60
  6. Step 6: Final answer
    x = 307,179.90

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1.5x scale

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.