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Finding the Fourth Proportional to 271,997.05, 405,261.77 and 256,717.82

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Solution

The fourth proportional to 271,997.05, 405,261.77 and 256,717.82 is: 382,496.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,997.05 : 405,261.77 = 256,717.82 : x
  2. Step 2: Convert to fraction form
    271,997.05/405,261.77 = 256,717.82/x
  3. Step 3: Cross multiply
    271,997.05x = 405,261.77 × 256,717.82
  4. Step 4: Simplify right side
    271,997.05x = 104,037,918,123.74
  5. Step 5: Solve for x
    x = 104,037,918,123.74/271,997.05
  6. Step 6: Final answer
    x = 382,496.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.