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Finding the Fourth Proportional to 365,705.91, 548,361.62 and 165,917.28

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Solution

The fourth proportional to 365,705.91, 548,361.62 and 165,917.28 is: 248,786.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,705.91 : 548,361.62 = 165,917.28 : x
  2. Step 2: Convert to fraction form
    365,705.91/548,361.62 = 165,917.28/x
  3. Step 3: Cross multiply
    365,705.91x = 548,361.62 × 165,917.28
  4. Step 4: Simplify right side
    365,705.91x = 90,982,667,617.21
  5. Step 5: Solve for x
    x = 90,982,667,617.21/365,705.91
  6. Step 6: Final answer
    x = 248,786.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.