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Finding the Fourth Proportional to 509,104.14, 763,644.38 and 256,316.75

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Solution

The fourth proportional to 509,104.14, 763,644.38 and 256,316.75 is: 384,469.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,104.14 : 763,644.38 = 256,316.75 : x
  2. Step 2: Convert to fraction form
    509,104.14/763,644.38 = 256,316.75/x
  3. Step 3: Cross multiply
    509,104.14x = 763,644.38 × 256,316.75
  4. Step 4: Simplify right side
    509,104.14x = 195,734,849,859.40
  5. Step 5: Solve for x
    x = 195,734,849,859.40/509,104.14
  6. Step 6: Final answer
    x = 384,469.18

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