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Finding the Fourth Proportional to 256,829.80, 385,244.70 and 209,590.60

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Solution

The fourth proportional to 256,829.80, 385,244.70 and 209,590.60 is: 314,385.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,829.80 : 385,244.70 = 209,590.60 : x
  2. Step 2: Convert to fraction form
    256,829.80/385,244.70 = 209,590.60/x
  3. Step 3: Cross multiply
    256,829.80x = 385,244.70 × 209,590.60
  4. Step 4: Simplify right side
    256,829.80x = 80,743,667,819.82
  5. Step 5: Solve for x
    x = 80,743,667,819.82/256,829.80
  6. Step 6: Final answer
    x = 314,385.90

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