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Finding the Fourth Proportional to 396,002.60, 593,226.30 and 270,031.40

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Solution

The fourth proportional to 396,002.60, 593,226.30 and 270,031.40 is: 404,516.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,002.60 : 593,226.30 = 270,031.40 : x
  2. Step 2: Convert to fraction form
    396,002.60/593,226.30 = 270,031.40/x
  3. Step 3: Cross multiply
    396,002.60x = 593,226.30 × 270,031.40
  4. Step 4: Simplify right side
    396,002.60x = 160,189,728,305.82
  5. Step 5: Solve for x
    x = 160,189,728,305.82/396,002.60
  6. Step 6: Final answer
    x = 404,516.86

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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.