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Finding the Fourth Proportional to 416,009.56, 622,789.62 and 257,729.08

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Solution

The fourth proportional to 416,009.56, 622,789.62 and 257,729.08 is: 385,834.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,009.56 : 622,789.62 = 257,729.08 : x
  2. Step 2: Convert to fraction form
    416,009.56/622,789.62 = 257,729.08/x
  3. Step 3: Cross multiply
    416,009.56x = 622,789.62 × 257,729.08
  4. Step 4: Simplify right side
    416,009.56x = 160,510,995,796.15
  5. Step 5: Solve for x
    x = 160,510,995,796.15/416,009.56
  6. Step 6: Final answer
    x = 385,834.87

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