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Finding the Fourth Proportional to 396,412.26, 594,709.17 and 171,810.42

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Solution

The fourth proportional to 396,412.26, 594,709.17 and 171,810.42 is: 257,754.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,412.26 : 594,709.17 = 171,810.42 : x
  2. Step 2: Convert to fraction form
    396,412.26/594,709.17 = 171,810.42/x
  3. Step 3: Cross multiply
    396,412.26x = 594,709.17 × 171,810.42
  4. Step 4: Simplify right side
    396,412.26x = 102,177,232,275.55
  5. Step 5: Solve for x
    x = 102,177,232,275.55/396,412.26
  6. Step 6: Final answer
    x = 257,754.98

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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.