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Finding the Fourth Proportional to 396,081.36, 593,430.84 and 329,946.48

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Solution

The fourth proportional to 396,081.36, 593,430.84 and 329,946.48 is: 494,343.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,081.36 : 593,430.84 = 329,946.48 : x
  2. Step 2: Convert to fraction form
    396,081.36/593,430.84 = 329,946.48/x
  3. Step 3: Cross multiply
    396,081.36x = 593,430.84 × 329,946.48
  4. Step 4: Simplify right side
    396,081.36x = 195,800,416,781.44
  5. Step 5: Solve for x
    x = 195,800,416,781.44/396,081.36
  6. Step 6: Final answer
    x = 494,343.93

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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.