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Finding the Fourth Proportional to 396,164.76, 594,288.80 and 115,682.80

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Solution

The fourth proportional to 396,164.76, 594,288.80 and 115,682.80 is: 173,536.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,164.76 : 594,288.80 = 115,682.80 : x
  2. Step 2: Convert to fraction form
    396,164.76/594,288.80 = 115,682.80/x
  3. Step 3: Cross multiply
    396,164.76x = 594,288.80 × 115,682.80
  4. Step 4: Simplify right side
    396,164.76x = 68,748,992,392.64
  5. Step 5: Solve for x
    x = 68,748,992,392.64/396,164.76
  6. Step 6: Final answer
    x = 173,536.37

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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.