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Finding the Fourth Proportional to 647,136.56, 970,707 and 197,855.66

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Solution

The fourth proportional to 647,136.56, 970,707 and 197,855.66 is: 296,784.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,136.56 : 970,707 = 197,855.66 : x
  2. Step 2: Convert to fraction form
    647,136.56/970,707 = 197,855.66/x
  3. Step 3: Cross multiply
    647,136.56x = 970,707 × 197,855.66
  4. Step 4: Simplify right side
    647,136.56x = 192,059,874,151.62
  5. Step 5: Solve for x
    x = 192,059,874,151.62/647,136.56
  6. Step 6: Final answer
    x = 296,784.15

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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.