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Finding the Fourth Proportional to 396,241.68, 594,404.09 and 171,624.84

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Solution

The fourth proportional to 396,241.68, 594,404.09 and 171,624.84 is: 257,455.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,241.68 : 594,404.09 = 171,624.84 : x
  2. Step 2: Convert to fraction form
    396,241.68/594,404.09 = 171,624.84/x
  3. Step 3: Cross multiply
    396,241.68x = 594,404.09 × 171,624.84
  4. Step 4: Simplify right side
    396,241.68x = 102,014,505,983.47
  5. Step 5: Solve for x
    x = 102,014,505,983.47/396,241.68
  6. Step 6: Final answer
    x = 257,455.26

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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.