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Finding the Fourth Proportional to 396,125.20, 594,264.60 and 199,133.20

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Solution

The fourth proportional to 396,125.20, 594,264.60 and 199,133.20 is: 298,738.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,125.20 : 594,264.60 = 199,133.20 : x
  2. Step 2: Convert to fraction form
    396,125.20/594,264.60 = 199,133.20/x
  3. Step 3: Cross multiply
    396,125.20x = 594,264.60 × 199,133.20
  4. Step 4: Simplify right side
    396,125.20x = 118,337,811,444.72
  5. Step 5: Solve for x
    x = 118,337,811,444.72/396,125.20
  6. Step 6: Final answer
    x = 298,738.41

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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.