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Finding the Fourth Proportional to 375,306.36, 517,895.82 and 205,513.08

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Solution

The fourth proportional to 375,306.36, 517,895.82 and 205,513.08 is: 283,593.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,306.36 : 517,895.82 = 205,513.08 : x
  2. Step 2: Convert to fraction form
    375,306.36/517,895.82 = 205,513.08/x
  3. Step 3: Cross multiply
    375,306.36x = 517,895.82 × 205,513.08
  4. Step 4: Simplify right side
    375,306.36x = 106,434,365,087.33
  5. Step 5: Solve for x
    x = 106,434,365,087.33/375,306.36
  6. Step 6: Final answer
    x = 283,593.29

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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.