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Finding the Fourth Proportional to 465,796.89, 642,757.29 and 269,529.44

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Solution

The fourth proportional to 465,796.89, 642,757.29 and 269,529.44 is: 371,926.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,796.89 : 642,757.29 = 269,529.44 : x
  2. Step 2: Convert to fraction form
    465,796.89/642,757.29 = 269,529.44/x
  3. Step 3: Cross multiply
    465,796.89x = 642,757.29 × 269,529.44
  4. Step 4: Simplify right side
    465,796.89x = 173,242,011,521.73
  5. Step 5: Solve for x
    x = 173,242,011,521.73/465,796.89
  6. Step 6: Final answer
    x = 371,926.08

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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.