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Finding the Fourth Proportional to 286,014.40, 394,757.44 and 165,175.36

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Solution

The fourth proportional to 286,014.40, 394,757.44 and 165,175.36 is: 227,975.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,014.40 : 394,757.44 = 165,175.36 : x
  2. Step 2: Convert to fraction form
    286,014.40/394,757.44 = 165,175.36/x
  3. Step 3: Cross multiply
    286,014.40x = 394,757.44 × 165,175.36
  4. Step 4: Simplify right side
    286,014.40x = 65,204,202,264.68
  5. Step 5: Solve for x
    x = 65,204,202,264.68/286,014.40
  6. Step 6: Final answer
    x = 227,975.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.