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Finding the Fourth Proportional to 530,672.80, 796,009.20 and 198,231.20

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Solution

The fourth proportional to 530,672.80, 796,009.20 and 198,231.20 is: 297,346.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,672.80 : 796,009.20 = 198,231.20 : x
  2. Step 2: Convert to fraction form
    530,672.80/796,009.20 = 198,231.20/x
  3. Step 3: Cross multiply
    530,672.80x = 796,009.20 × 198,231.20
  4. Step 4: Simplify right side
    530,672.80x = 157,793,858,927.04
  5. Step 5: Solve for x
    x = 157,793,858,927.04/530,672.80
  6. Step 6: Final answer
    x = 297,346.80

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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.