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Finding the Fourth Proportional to 577,982.66, 866,758.93 and 198,796.95

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Solution

The fourth proportional to 577,982.66, 866,758.93 and 198,796.95 is: 298,121.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,982.66 : 866,758.93 = 198,796.95 : x
  2. Step 2: Convert to fraction form
    577,982.66/866,758.93 = 198,796.95/x
  3. Step 3: Cross multiply
    577,982.66x = 866,758.93 × 198,796.95
  4. Step 4: Simplify right side
    577,982.66x = 172,309,031,172.27
  5. Step 5: Solve for x
    x = 172,309,031,172.27/577,982.66
  6. Step 6: Final answer
    x = 298,121.46

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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.