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Finding the Fourth Proportional to 396,604.80, 595,598.40 and 384,163.20

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Solution

The fourth proportional to 396,604.80, 595,598.40 and 384,163.20 is: 576,914.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,604.80 : 595,598.40 = 384,163.20 : x
  2. Step 2: Convert to fraction form
    396,604.80/595,598.40 = 384,163.20/x
  3. Step 3: Cross multiply
    396,604.80x = 595,598.40 × 384,163.20
  4. Step 4: Simplify right side
    396,604.80x = 228,806,987,258.88
  5. Step 5: Solve for x
    x = 228,806,987,258.88/396,604.80
  6. Step 6: Final answer
    x = 576,914.32

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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.