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Finding the Fourth Proportional to 633,071.44, 949,685.24 and 206,493.22

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Solution

The fourth proportional to 633,071.44, 949,685.24 and 206,493.22 is: 309,765.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,071.44 : 949,685.24 = 206,493.22 : x
  2. Step 2: Convert to fraction form
    633,071.44/949,685.24 = 206,493.22/x
  3. Step 3: Cross multiply
    633,071.44x = 949,685.24 × 206,493.22
  4. Step 4: Simplify right side
    633,071.44x = 196,103,558,974.67
  5. Step 5: Solve for x
    x = 196,103,558,974.67/633,071.44
  6. Step 6: Final answer
    x = 309,765.29

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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.