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Finding the Fourth Proportional to 394,667.28, 591,964.04 and 110,383.24

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Solution

The fourth proportional to 394,667.28, 591,964.04 and 110,383.24 is: 165,564.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,667.28 : 591,964.04 = 110,383.24 : x
  2. Step 2: Convert to fraction form
    394,667.28/591,964.04 = 110,383.24/x
  3. Step 3: Cross multiply
    394,667.28x = 591,964.04 × 110,383.24
  4. Step 4: Simplify right side
    394,667.28x = 65,342,908,698.69
  5. Step 5: Solve for x
    x = 65,342,908,698.69/394,667.28
  6. Step 6: Final answer
    x = 165,564.55

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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.