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Finding the Fourth Proportional to 256,847.64, 384,749.22 and 209,631

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Solution

The fourth proportional to 256,847.64, 384,749.22 and 209,631 is: 314,020.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,847.64 : 384,749.22 = 209,631 : x
  2. Step 2: Convert to fraction form
    256,847.64/384,749.22 = 209,631/x
  3. Step 3: Cross multiply
    256,847.64x = 384,749.22 × 209,631
  4. Step 4: Simplify right side
    256,847.64x = 80,655,363,737.82
  5. Step 5: Solve for x
    x = 80,655,363,737.82/256,847.64
  6. Step 6: Final answer
    x = 314,020.26

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