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Finding the Fourth Proportional to 691,435, 1,037,327.46 and 192,799

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Solution

The fourth proportional to 691,435, 1,037,327.46 and 192,799 is: 289,247.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,435 : 1,037,327.46 = 192,799 : x
  2. Step 2: Convert to fraction form
    691,435/1,037,327.46 = 192,799/x
  3. Step 3: Cross multiply
    691,435x = 1,037,327.46 × 192,799
  4. Step 4: Simplify right side
    691,435x = 199,995,696,960.54
  5. Step 5: Solve for x
    x = 199,995,696,960.54/691,435
  6. Step 6: Final answer
    x = 289,247.29

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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.