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Finding the Fourth Proportional to 461,960.90, 693,314.51 and 195,908.09

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Solution

The fourth proportional to 461,960.90, 693,314.51 and 195,908.09 is: 294,020.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,960.90 : 693,314.51 = 195,908.09 : x
  2. Step 2: Convert to fraction form
    461,960.90/693,314.51 = 195,908.09/x
  3. Step 3: Cross multiply
    461,960.90x = 693,314.51 × 195,908.09
  4. Step 4: Simplify right side
    461,960.90x = 135,825,920,443.85
  5. Step 5: Solve for x
    x = 135,825,920,443.85/461,960.90
  6. Step 6: Final answer
    x = 294,020.38

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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.