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Finding the Fourth Proportional to 647,233.31, 970,694.24 and 197,958.06

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Solution

The fourth proportional to 647,233.31, 970,694.24 and 197,958.06 is: 296,889.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,233.31 : 970,694.24 = 197,958.06 : x
  2. Step 2: Convert to fraction form
    647,233.31/970,694.24 = 197,958.06/x
  3. Step 3: Cross multiply
    647,233.31x = 970,694.24 × 197,958.06
  4. Step 4: Simplify right side
    647,233.31x = 192,156,747,613.78
  5. Step 5: Solve for x
    x = 192,156,747,613.78/647,233.31
  6. Step 6: Final answer
    x = 296,889.46

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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.