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Finding the Fourth Proportional to 396,408.24, 594,703.20 and 171,806.40

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Solution

The fourth proportional to 396,408.24, 594,703.20 and 171,806.40 is: 257,748.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,408.24 : 594,703.20 = 171,806.40 : x
  2. Step 2: Convert to fraction form
    396,408.24/594,703.20 = 171,806.40/x
  3. Step 3: Cross multiply
    396,408.24x = 594,703.20 × 171,806.40
  4. Step 4: Simplify right side
    396,408.24x = 102,173,815,860.48
  5. Step 5: Solve for x
    x = 102,173,815,860.48/396,408.24
  6. Step 6: Final answer
    x = 257,748.97

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1.5x scale

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.