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Finding the Fourth Proportional to 396,474.36, 594,828.20 and 159,695.16

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Solution

The fourth proportional to 396,474.36, 594,828.20 and 159,695.16 is: 239,589.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,474.36 : 594,828.20 = 159,695.16 : x
  2. Step 2: Convert to fraction form
    396,474.36/594,828.20 = 159,695.16/x
  3. Step 3: Cross multiply
    396,474.36x = 594,828.20 × 159,695.16
  4. Step 4: Simplify right side
    396,474.36x = 94,991,184,571.51
  5. Step 5: Solve for x
    x = 94,991,184,571.51/396,474.36
  6. Step 6: Final answer
    x = 239,589.73

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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.