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Finding the Fourth Proportional to 647,170.56, 970,758 and 197,889.60

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Solution

The fourth proportional to 647,170.56, 970,758 and 197,889.60 is: 296,835.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,170.56 : 970,758 = 197,889.60 : x
  2. Step 2: Convert to fraction form
    647,170.56/970,758 = 197,889.60/x
  3. Step 3: Cross multiply
    647,170.56x = 970,758 × 197,889.60
  4. Step 4: Simplify right side
    647,170.56x = 192,102,912,316.80
  5. Step 5: Solve for x
    x = 192,102,912,316.80/647,170.56
  6. Step 6: Final answer
    x = 296,835.06

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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.