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Finding the Fourth Proportional to 396,376.41, 594,655.43 and 171,774.55

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Solution

The fourth proportional to 396,376.41, 594,655.43 and 171,774.55 is: 257,701.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,376.41 : 594,655.43 = 171,774.55 : x
  2. Step 2: Convert to fraction form
    396,376.41/594,655.43 = 171,774.55/x
  3. Step 3: Cross multiply
    396,376.41x = 594,655.43 × 171,774.55
  4. Step 4: Simplify right side
    396,376.41x = 102,146,665,920.03
  5. Step 5: Solve for x
    x = 102,146,665,920.03/396,376.41
  6. Step 6: Final answer
    x = 257,701.18

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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.