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Finding the Fourth Proportional to 396,164.80, 593,469.60 and 237,923.20

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Solution

The fourth proportional to 396,164.80, 593,469.60 and 237,923.20 is: 356,417.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,164.80 : 593,469.60 = 237,923.20 : x
  2. Step 2: Convert to fraction form
    396,164.80/593,469.60 = 237,923.20/x
  3. Step 3: Cross multiply
    396,164.80x = 593,469.60 × 237,923.20
  4. Step 4: Simplify right side
    396,164.80x = 141,200,186,334.72
  5. Step 5: Solve for x
    x = 141,200,186,334.72/396,164.80
  6. Step 6: Final answer
    x = 356,417.80

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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.