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Finding the Fourth Proportional to 512,008.96, 706,574.40 and 285,664

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Solution

The fourth proportional to 512,008.96, 706,574.40 and 285,664 is: 394,217.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,008.96 : 706,574.40 = 285,664 : x
  2. Step 2: Convert to fraction form
    512,008.96/706,574.40 = 285,664/x
  3. Step 3: Cross multiply
    512,008.96x = 706,574.40 × 285,664
  4. Step 4: Simplify right side
    512,008.96x = 201,842,869,401.60
  5. Step 5: Solve for x
    x = 201,842,869,401.60/512,008.96
  6. Step 6: Final answer
    x = 394,217.46

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