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Finding the Fourth Proportional to 413,271.68, 619,863.78 and 132,767.06

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Solution

The fourth proportional to 413,271.68, 619,863.78 and 132,767.06 is: 199,136.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,271.68 : 619,863.78 = 132,767.06 : x
  2. Step 2: Convert to fraction form
    413,271.68/619,863.78 = 132,767.06/x
  3. Step 3: Cross multiply
    413,271.68x = 619,863.78 × 132,767.06
  4. Step 4: Simplify right side
    413,271.68x = 82,297,491,671.09
  5. Step 5: Solve for x
    x = 82,297,491,671.09/413,271.68
  6. Step 6: Final answer
    x = 199,136.54

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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.