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Finding the Fourth Proportional to 396,529.92, 594,483.84 and 196,709.76

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Solution

The fourth proportional to 396,529.92, 594,483.84 and 196,709.76 is: 294,910.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,529.92 : 594,483.84 = 196,709.76 : x
  2. Step 2: Convert to fraction form
    396,529.92/594,483.84 = 196,709.76/x
  3. Step 3: Cross multiply
    396,529.92x = 594,483.84 × 196,709.76
  4. Step 4: Simplify right side
    396,529.92x = 116,940,773,490.28
  5. Step 5: Solve for x
    x = 116,940,773,490.28/396,529.92
  6. Step 6: Final answer
    x = 294,910.34

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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.