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Finding the Fourth Proportional to 256,819.20, 385,228.80 and 172,838.40

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Solution

The fourth proportional to 256,819.20, 385,228.80 and 172,838.40 is: 259,257.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,819.20 : 385,228.80 = 172,838.40 : x
  2. Step 2: Convert to fraction form
    256,819.20/385,228.80 = 172,838.40/x
  3. Step 3: Cross multiply
    256,819.20x = 385,228.80 × 172,838.40
  4. Step 4: Simplify right side
    256,819.20x = 66,582,329,425.92
  5. Step 5: Solve for x
    x = 66,582,329,425.92/256,819.20
  6. Step 6: Final answer
    x = 259,257.60

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