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Finding the Fourth Proportional to 388,509.75, 582,797.63 and 108,027

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Solution

The fourth proportional to 388,509.75, 582,797.63 and 108,027 is: 162,049.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,509.75 : 582,797.63 = 108,027 : x
  2. Step 2: Convert to fraction form
    388,509.75/582,797.63 = 108,027/x
  3. Step 3: Cross multiply
    388,509.75x = 582,797.63 × 108,027
  4. Step 4: Simplify right side
    388,509.75x = 62,957,879,846.08
  5. Step 5: Solve for x
    x = 62,957,879,846.08/388,509.75
  6. Step 6: Final answer
    x = 162,049.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.