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Finding the Fourth Proportional to 414,716.64, 622,025.52 and 144,797.80

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Solution

The fourth proportional to 414,716.64, 622,025.52 and 144,797.80 is: 217,179.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,716.64 : 622,025.52 = 144,797.80 : x
  2. Step 2: Convert to fraction form
    414,716.64/622,025.52 = 144,797.80/x
  3. Step 3: Cross multiply
    414,716.64x = 622,025.52 × 144,797.80
  4. Step 4: Simplify right side
    414,716.64x = 90,067,926,839.86
  5. Step 5: Solve for x
    x = 90,067,926,839.86/414,716.64
  6. Step 6: Final answer
    x = 217,179.44

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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.