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Finding the Fourth Proportional to 414,906.40, 622,392.32 and 204,429.60

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Solution

The fourth proportional to 414,906.40, 622,392.32 and 204,429.60 is: 306,660.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,906.40 : 622,392.32 = 204,429.60 : x
  2. Step 2: Convert to fraction form
    414,906.40/622,392.32 = 204,429.60/x
  3. Step 3: Cross multiply
    414,906.40x = 622,392.32 × 204,429.60
  4. Step 4: Simplify right side
    414,906.40x = 127,235,413,020.67
  5. Step 5: Solve for x
    x = 127,235,413,020.67/414,906.40
  6. Step 6: Final answer
    x = 306,660.52

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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.