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Finding the Fourth Proportional to 300,296.16, 414,408.75 and 164,330.14

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Solution

The fourth proportional to 300,296.16, 414,408.75 and 164,330.14 is: 226,775.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,296.16 : 414,408.75 = 164,330.14 : x
  2. Step 2: Convert to fraction form
    300,296.16/414,408.75 = 164,330.14/x
  3. Step 3: Cross multiply
    300,296.16x = 414,408.75 × 164,330.14
  4. Step 4: Simplify right side
    300,296.16x = 68,099,847,288.49
  5. Step 5: Solve for x
    x = 68,099,847,288.49/300,296.16
  6. Step 6: Final answer
    x = 226,775.62

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