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Finding the Fourth Proportional to 509,657.24, 703,340.52 and 280,224.20

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Solution

The fourth proportional to 509,657.24, 703,340.52 and 280,224.20 is: 386,716.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,657.24 : 703,340.52 = 280,224.20 : x
  2. Step 2: Convert to fraction form
    509,657.24/703,340.52 = 280,224.20/x
  3. Step 3: Cross multiply
    509,657.24x = 703,340.52 × 280,224.20
  4. Step 4: Simplify right side
    509,657.24x = 197,093,034,544.58
  5. Step 5: Solve for x
    x = 197,093,034,544.58/509,657.24
  6. Step 6: Final answer
    x = 386,716.83

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