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Finding the Fourth Proportional to 577,982.96, 866,759.40 and 198,797.26

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Solution

The fourth proportional to 577,982.96, 866,759.40 and 198,797.26 is: 298,121.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,982.96 : 866,759.40 = 198,797.26 : x
  2. Step 2: Convert to fraction form
    577,982.96/866,759.40 = 198,797.26/x
  3. Step 3: Cross multiply
    577,982.96x = 866,759.40 × 198,797.26
  4. Step 4: Simplify right side
    577,982.96x = 172,309,393,799.24
  5. Step 5: Solve for x
    x = 172,309,393,799.24/577,982.96
  6. Step 6: Final answer
    x = 298,121.93

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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.