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Finding the Fourth Proportional to 691,491, 1,037,411.54 and 192,855

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Solution

The fourth proportional to 691,491, 1,037,411.54 and 192,855 is: 289,331.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,491 : 1,037,411.54 = 192,855 : x
  2. Step 2: Convert to fraction form
    691,491/1,037,411.54 = 192,855/x
  3. Step 3: Cross multiply
    691,491x = 1,037,411.54 × 192,855
  4. Step 4: Simplify right side
    691,491x = 200,070,002,546.70
  5. Step 5: Solve for x
    x = 200,070,002,546.70/691,491
  6. Step 6: Final answer
    x = 289,331.32

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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.