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Finding the Fourth Proportional to 262,908.09, 362,388.12 and 205,447.56

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Solution

The fourth proportional to 262,908.09, 362,388.12 and 205,447.56 is: 283,185.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,908.09 : 362,388.12 = 205,447.56 : x
  2. Step 2: Convert to fraction form
    262,908.09/362,388.12 = 205,447.56/x
  3. Step 3: Cross multiply
    262,908.09x = 362,388.12 × 205,447.56
  4. Step 4: Simplify right side
    262,908.09x = 74,451,755,026.99
  5. Step 5: Solve for x
    x = 74,451,755,026.99/262,908.09
  6. Step 6: Final answer
    x = 283,185.49

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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.