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Finding the Fourth Proportional to 414,771.20, 622,233.60 and 134,297.60

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Solution

The fourth proportional to 414,771.20, 622,233.60 and 134,297.60 is: 201,471.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,771.20 : 622,233.60 = 134,297.60 : x
  2. Step 2: Convert to fraction form
    414,771.20/622,233.60 = 134,297.60/x
  3. Step 3: Cross multiply
    414,771.20x = 622,233.60 × 134,297.60
  4. Step 4: Simplify right side
    414,771.20x = 83,564,479,119.36
  5. Step 5: Solve for x
    x = 83,564,479,119.36/414,771.20
  6. Step 6: Final answer
    x = 201,471.27

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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.