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Finding the Fourth Proportional to 414,833.28, 622,242.72 and 134,351.04

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Solution

The fourth proportional to 414,833.28, 622,242.72 and 134,351.04 is: 201,524.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,833.28 : 622,242.72 = 134,351.04 : x
  2. Step 2: Convert to fraction form
    414,833.28/622,242.72 = 134,351.04/x
  3. Step 3: Cross multiply
    414,833.28x = 622,242.72 × 134,351.04
  4. Step 4: Simplify right side
    414,833.28x = 83,598,956,564.43
  5. Step 5: Solve for x
    x = 83,598,956,564.43/414,833.28
  6. Step 6: Final answer
    x = 201,524.23

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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.