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Finding the Fourth Proportional to 396,308.72, 594,553.80 and 171,706.52

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Solution

The fourth proportional to 396,308.72, 594,553.80 and 171,706.52 is: 257,599.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,308.72 : 594,553.80 = 171,706.52 : x
  2. Step 2: Convert to fraction form
    396,308.72/594,553.80 = 171,706.52/x
  3. Step 3: Cross multiply
    396,308.72x = 594,553.80 × 171,706.52
  4. Step 4: Simplify right side
    396,308.72x = 102,088,763,950.78
  5. Step 5: Solve for x
    x = 102,088,763,950.78/396,308.72
  6. Step 6: Final answer
    x = 257,599.09

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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.