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Finding the Fourth Proportional to 396,005.60, 593,662.80 and 238,066.40

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Solution

The fourth proportional to 396,005.60, 593,662.80 and 238,066.40 is: 356,891.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,005.60 : 593,662.80 = 238,066.40 : x
  2. Step 2: Convert to fraction form
    396,005.60/593,662.80 = 238,066.40/x
  3. Step 3: Cross multiply
    396,005.60x = 593,662.80 × 238,066.40
  4. Step 4: Simplify right side
    396,005.60x = 141,331,165,609.92
  5. Step 5: Solve for x
    x = 141,331,165,609.92/396,005.60
  6. Step 6: Final answer
    x = 356,891.84

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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.