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Finding the Fourth Proportional to 530,964.80, 796,861.92 and 198,635.84

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Solution

The fourth proportional to 530,964.80, 796,861.92 and 198,635.84 is: 298,108.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,964.80 : 796,861.92 = 198,635.84 : x
  2. Step 2: Convert to fraction form
    530,964.80/796,861.92 = 198,635.84/x
  3. Step 3: Cross multiply
    530,964.80x = 796,861.92 × 198,635.84
  4. Step 4: Simplify right side
    530,964.80x = 158,285,336,843.21
  5. Step 5: Solve for x
    x = 158,285,336,843.21/530,964.80
  6. Step 6: Final answer
    x = 298,108.91

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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.