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Finding the Fourth Proportional to 299,546.08, 413,365.68 and 165,407.20

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Solution

The fourth proportional to 299,546.08, 413,365.68 and 165,407.20 is: 228,257.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,546.08 : 413,365.68 = 165,407.20 : x
  2. Step 2: Convert to fraction form
    299,546.08/413,365.68 = 165,407.20/x
  3. Step 3: Cross multiply
    299,546.08x = 413,365.68 × 165,407.20
  4. Step 4: Simplify right side
    299,546.08x = 68,373,659,704.90
  5. Step 5: Solve for x
    x = 68,373,659,704.90/299,546.08
  6. Step 6: Final answer
    x = 228,257.57

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