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Finding the Fourth Proportional to 414,755.64, 622,232.24 and 134,272.88

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Solution

The fourth proportional to 414,755.64, 622,232.24 and 134,272.88 is: 201,441.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,755.64 : 622,232.24 = 134,272.88 : x
  2. Step 2: Convert to fraction form
    414,755.64/622,232.24 = 134,272.88/x
  3. Step 3: Cross multiply
    414,755.64x = 622,232.24 × 134,272.88
  4. Step 4: Simplify right side
    414,755.64x = 83,548,914,893.65
  5. Step 5: Solve for x
    x = 83,548,914,893.65/414,755.64
  6. Step 6: Final answer
    x = 201,441.30

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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.