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Finding the Fourth Proportional to 375,344.68, 517,956.26 and 205,546.04

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Solution

The fourth proportional to 375,344.68, 517,956.26 and 205,546.04 is: 283,642.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,344.68 : 517,956.26 = 205,546.04 : x
  2. Step 2: Convert to fraction form
    375,344.68/517,956.26 = 205,546.04/x
  3. Step 3: Cross multiply
    375,344.68x = 517,956.26 × 205,546.04
  4. Step 4: Simplify right side
    375,344.68x = 106,463,858,136.21
  5. Step 5: Solve for x
    x = 106,463,858,136.21/375,344.68
  6. Step 6: Final answer
    x = 283,642.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.