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Finding the Fourth Proportional to 647,234.81, 970,696.49 and 197,959.56

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Solution

The fourth proportional to 647,234.81, 970,696.49 and 197,959.56 is: 296,891.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,234.81 : 970,696.49 = 197,959.56 : x
  2. Step 2: Convert to fraction form
    647,234.81/970,696.49 = 197,959.56/x
  3. Step 3: Cross multiply
    647,234.81x = 970,696.49 × 197,959.56
  4. Step 4: Simplify right side
    647,234.81x = 192,158,649,064.15
  5. Step 5: Solve for x
    x = 192,158,649,064.15/647,234.81
  6. Step 6: Final answer
    x = 296,891.71

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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.