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Finding the Fourth Proportional to 462,843.36, 694,357.92 and 196,601.76

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Solution

The fourth proportional to 462,843.36, 694,357.92 and 196,601.76 is: 294,942.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,843.36 : 694,357.92 = 196,601.76 : x
  2. Step 2: Convert to fraction form
    462,843.36/694,357.92 = 196,601.76/x
  3. Step 3: Cross multiply
    462,843.36x = 694,357.92 × 196,601.76
  4. Step 4: Simplify right side
    462,843.36x = 136,511,989,141.94
  5. Step 5: Solve for x
    x = 136,511,989,141.94/462,843.36
  6. Step 6: Final answer
    x = 294,942.09

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1.5x scale

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.