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Finding the Fourth Proportional to 409,415.82, 613,209.69 and 313,942.84

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Solution

The fourth proportional to 409,415.82, 613,209.69 and 313,942.84 is: 470,213.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,415.82 : 613,209.69 = 313,942.84 : x
  2. Step 2: Convert to fraction form
    409,415.82/613,209.69 = 313,942.84/x
  3. Step 3: Cross multiply
    409,415.82x = 613,209.69 × 313,942.84
  4. Step 4: Simplify right side
    409,415.82x = 192,512,790,061.10
  5. Step 5: Solve for x
    x = 192,512,790,061.10/409,415.82
  6. Step 6: Final answer
    x = 470,213.37

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