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Finding the Fourth Proportional to 256,822.80, 385,234.20 and 209,583.60

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Solution

The fourth proportional to 256,822.80, 385,234.20 and 209,583.60 is: 314,375.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,822.80 : 385,234.20 = 209,583.60 : x
  2. Step 2: Convert to fraction form
    256,822.80/385,234.20 = 209,583.60/x
  3. Step 3: Cross multiply
    256,822.80x = 385,234.20 × 209,583.60
  4. Step 4: Simplify right side
    256,822.80x = 80,738,770,479.12
  5. Step 5: Solve for x
    x = 80,738,770,479.12/256,822.80
  6. Step 6: Final answer
    x = 314,375.40

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