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Finding the Fourth Proportional to 414,701.94, 622,151.63 and 134,219.19

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Solution

The fourth proportional to 414,701.94, 622,151.63 and 134,219.19 is: 201,360.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,701.94 : 622,151.63 = 134,219.19 : x
  2. Step 2: Convert to fraction form
    414,701.94/622,151.63 = 134,219.19/x
  3. Step 3: Cross multiply
    414,701.94x = 622,151.63 × 134,219.19
  4. Step 4: Simplify right side
    414,701.94x = 83,504,687,164.68
  5. Step 5: Solve for x
    x = 83,504,687,164.68/414,701.94
  6. Step 6: Final answer
    x = 201,360.73

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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.