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Finding the Fourth Proportional to 577,664.69, 866,163.50 and 178,198.20

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Solution

The fourth proportional to 577,664.69, 866,163.50 and 178,198.20 is: 267,194.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,664.69 : 866,163.50 = 178,198.20 : x
  2. Step 2: Convert to fraction form
    577,664.69/866,163.50 = 178,198.20/x
  3. Step 3: Cross multiply
    577,664.69x = 866,163.50 × 178,198.20
  4. Step 4: Simplify right side
    577,664.69x = 154,348,777,051.20
  5. Step 5: Solve for x
    x = 154,348,777,051.20/577,664.69
  6. Step 6: Final answer
    x = 267,194.41

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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.