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Finding the Fourth Proportional to 647,294.82, 970,786.32 and 198,019.59

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Solution

The fourth proportional to 647,294.82, 970,786.32 and 198,019.59 is: 296,981.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,294.82 : 970,786.32 = 198,019.59 : x
  2. Step 2: Convert to fraction form
    647,294.82/970,786.32 = 198,019.59/x
  3. Step 3: Cross multiply
    647,294.82x = 970,786.32 × 198,019.59
  4. Step 4: Simplify right side
    647,294.82x = 192,234,709,064.01
  5. Step 5: Solve for x
    x = 192,234,709,064.01/647,294.82
  6. Step 6: Final answer
    x = 296,981.69

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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.