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Finding the Fourth Proportional to 647,286.33, 970,894.53 and 198,007.25

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Solution

The fourth proportional to 647,286.33, 970,894.53 and 198,007.25 is: 297,000.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,286.33 : 970,894.53 = 198,007.25 : x
  2. Step 2: Convert to fraction form
    647,286.33/970,894.53 = 198,007.25/x
  3. Step 3: Cross multiply
    647,286.33x = 970,894.53 × 198,007.25
  4. Step 4: Simplify right side
    647,286.33x = 192,244,151,070.87
  5. Step 5: Solve for x
    x = 192,244,151,070.87/647,286.33
  6. Step 6: Final answer
    x = 297,000.17

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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.