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Finding the Fourth Proportional to 286,032.98, 394,744.38 and 165,179.36

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Solution

The fourth proportional to 286,032.98, 394,744.38 and 165,179.36 is: 227,958.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,032.98 : 394,744.38 = 165,179.36 : x
  2. Step 2: Convert to fraction form
    286,032.98/394,744.38 = 165,179.36/x
  3. Step 3: Cross multiply
    286,032.98x = 394,744.38 × 165,179.36
  4. Step 4: Simplify right side
    286,032.98x = 65,203,624,052.00
  5. Step 5: Solve for x
    x = 65,203,624,052.00/286,032.98
  6. Step 6: Final answer
    x = 227,958.41

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Why These Related Problems?

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