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Finding the Fourth Proportional to 375,115.25, 517,658.99 and 205,349.38

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Solution

The fourth proportional to 375,115.25, 517,658.99 and 205,349.38 is: 283,382.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,115.25 : 517,658.99 = 205,349.38 : x
  2. Step 2: Convert to fraction form
    375,115.25/517,658.99 = 205,349.38/x
  3. Step 3: Cross multiply
    375,115.25x = 517,658.99 × 205,349.38
  4. Step 4: Simplify right side
    375,115.25x = 106,300,950,327.03
  5. Step 5: Solve for x
    x = 106,300,950,327.03/375,115.25
  6. Step 6: Final answer
    x = 283,382.11

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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.