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Finding the Fourth Proportional to 375,257.82, 517,855.83 and 205,502.46

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Solution

The fourth proportional to 375,257.82, 517,855.83 and 205,502.46 is: 283,593.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,257.82 : 517,855.83 = 205,502.46 : x
  2. Step 2: Convert to fraction form
    375,257.82/517,855.83 = 205,502.46/x
  3. Step 3: Cross multiply
    375,257.82x = 517,855.83 × 205,502.46
  4. Step 4: Simplify right side
    375,257.82x = 106,420,646,990.34
  5. Step 5: Solve for x
    x = 106,420,646,990.34/375,257.82
  6. Step 6: Final answer
    x = 283,593.42

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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.