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Finding the Fourth Proportional to 414,946.60, 622,419.90 and 332,002.60

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Solution

The fourth proportional to 414,946.60, 622,419.90 and 332,002.60 is: 498,003.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,946.60 : 622,419.90 = 332,002.60 : x
  2. Step 2: Convert to fraction form
    414,946.60/622,419.90 = 332,002.60/x
  3. Step 3: Cross multiply
    414,946.60x = 622,419.90 × 332,002.60
  4. Step 4: Simplify right side
    414,946.60x = 206,645,025,091.74
  5. Step 5: Solve for x
    x = 206,645,025,091.74/414,946.60
  6. Step 6: Final answer
    x = 498,003.90

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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.