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Finding the Fourth Proportional to 264,814.56, 397,221.72 and 77,826

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Solution

The fourth proportional to 264,814.56, 397,221.72 and 77,826 is: 116,738.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,814.56 : 397,221.72 = 77,826 : x
  2. Step 2: Convert to fraction form
    264,814.56/397,221.72 = 77,826/x
  3. Step 3: Cross multiply
    264,814.56x = 397,221.72 × 77,826
  4. Step 4: Simplify right side
    264,814.56x = 30,914,177,580.72
  5. Step 5: Solve for x
    x = 30,914,177,580.72/264,814.56
  6. Step 6: Final answer
    x = 116,738.96

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