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Finding the Fourth Proportional to 396,369.35, 594,644.84 and 171,767.48

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Solution

The fourth proportional to 396,369.35, 594,644.84 and 171,767.48 is: 257,690.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,369.35 : 594,644.84 = 171,767.48 : x
  2. Step 2: Convert to fraction form
    396,369.35/594,644.84 = 171,767.48/x
  3. Step 3: Cross multiply
    396,369.35x = 594,644.84 × 171,767.48
  4. Step 4: Simplify right side
    396,369.35x = 102,140,644,802.97
  5. Step 5: Solve for x
    x = 102,140,644,802.97/396,369.35
  6. Step 6: Final answer
    x = 257,690.58

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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.