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Finding the Fourth Proportional to 396,155.84, 594,415.20 and 171,584.96

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Solution

The fourth proportional to 396,155.84, 594,415.20 and 171,584.96 is: 257,456.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,155.84 : 594,415.20 = 171,584.96 : x
  2. Step 2: Convert to fraction form
    396,155.84/594,415.20 = 171,584.96/x
  3. Step 3: Cross multiply
    396,155.84x = 594,415.20 × 171,584.96
  4. Step 4: Simplify right side
    396,155.84x = 101,992,708,315.39
  5. Step 5: Solve for x
    x = 101,992,708,315.39/396,155.84
  6. Step 6: Final answer
    x = 257,456.03

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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.