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Finding the Fourth Proportional to 414,797.88, 622,287.54 and 134,343.48

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Solution

The fourth proportional to 414,797.88, 622,287.54 and 134,343.48 is: 201,544.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,797.88 : 622,287.54 = 134,343.48 : x
  2. Step 2: Convert to fraction form
    414,797.88/622,287.54 = 134,343.48/x
  3. Step 3: Cross multiply
    414,797.88x = 622,287.54 × 134,343.48
  4. Step 4: Simplify right side
    414,797.88x = 83,600,273,684.24
  5. Step 5: Solve for x
    x = 83,600,273,684.24/414,797.88
  6. Step 6: Final answer
    x = 201,544.60

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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.