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Finding the Fourth Proportional to 280,438.28, 420,231.78 and 205,608.24

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Solution

The fourth proportional to 280,438.28, 420,231.78 and 205,608.24 is: 308,100.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,438.28 : 420,231.78 = 205,608.24 : x
  2. Step 2: Convert to fraction form
    280,438.28/420,231.78 = 205,608.24/x
  3. Step 3: Cross multiply
    280,438.28x = 420,231.78 × 205,608.24
  4. Step 4: Simplify right side
    280,438.28x = 86,403,116,677.87
  5. Step 5: Solve for x
    x = 86,403,116,677.87/280,438.28
  6. Step 6: Final answer
    x = 308,100.29

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