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Finding the Fourth Proportional to 409,098.92, 613,377.66 and 195,898.28

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Solution

The fourth proportional to 409,098.92, 613,377.66 and 195,898.28 is: 293,717.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,098.92 : 613,377.66 = 195,898.28 : x
  2. Step 2: Convert to fraction form
    409,098.92/613,377.66 = 195,898.28/x
  3. Step 3: Cross multiply
    409,098.92x = 613,377.66 × 195,898.28
  4. Step 4: Simplify right side
    409,098.92x = 120,159,628,584.43
  5. Step 5: Solve for x
    x = 120,159,628,584.43/409,098.92
  6. Step 6: Final answer
    x = 293,717.78

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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.