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Finding the Fourth Proportional to 414,945.60, 622,418.40 and 332,001.60

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Solution

The fourth proportional to 414,945.60, 622,418.40 and 332,001.60 is: 498,002.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,945.60 : 622,418.40 = 332,001.60 : x
  2. Step 2: Convert to fraction form
    414,945.60/622,418.40 = 332,001.60/x
  3. Step 3: Cross multiply
    414,945.60x = 622,418.40 × 332,001.60
  4. Step 4: Simplify right side
    414,945.60x = 206,643,904,669.44
  5. Step 5: Solve for x
    x = 206,643,904,669.44/414,945.60
  6. Step 6: Final answer
    x = 498,002.40

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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.