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Finding the Fourth Proportional to 380,420.92, 524,981.55 and 205,993.09

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Solution

The fourth proportional to 380,420.92, 524,981.55 and 205,993.09 is: 284,270.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,420.92 : 524,981.55 = 205,993.09 : x
  2. Step 2: Convert to fraction form
    380,420.92/524,981.55 = 205,993.09/x
  3. Step 3: Cross multiply
    380,420.92x = 524,981.55 × 205,993.09
  4. Step 4: Simplify right side
    380,420.92x = 108,142,571,677.49
  5. Step 5: Solve for x
    x = 108,142,571,677.49/380,420.92
  6. Step 6: Final answer
    x = 284,270.83

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