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Finding the Fourth Proportional to 497,906.56, 687,090.24 and 271,538.56

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Solution

The fourth proportional to 497,906.56, 687,090.24 and 271,538.56 is: 374,711.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,906.56 : 687,090.24 = 271,538.56 : x
  2. Step 2: Convert to fraction form
    497,906.56/687,090.24 = 271,538.56/x
  3. Step 3: Cross multiply
    497,906.56x = 687,090.24 × 271,538.56
  4. Step 4: Simplify right side
    497,906.56x = 186,571,494,359.65
  5. Step 5: Solve for x
    x = 186,571,494,359.65/497,906.56
  6. Step 6: Final answer
    x = 374,711.86

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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.