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Finding the Fourth Proportional to 396,324.80, 593,806.80 and 185,530.40

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Solution

The fourth proportional to 396,324.80, 593,806.80 and 185,530.40 is: 277,977.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,324.80 : 593,806.80 = 185,530.40 : x
  2. Step 2: Convert to fraction form
    396,324.80/593,806.80 = 185,530.40/x
  3. Step 3: Cross multiply
    396,324.80x = 593,806.80 × 185,530.40
  4. Step 4: Simplify right side
    396,324.80x = 110,169,213,126.72
  5. Step 5: Solve for x
    x = 110,169,213,126.72/396,324.80
  6. Step 6: Final answer
    x = 277,977.09

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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.