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Finding the Fourth Proportional to 497,847.53, 687,028.64 and 271,493.03

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Solution

The fourth proportional to 497,847.53, 687,028.64 and 271,493.03 is: 374,659.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,847.53 : 687,028.64 = 271,493.03 : x
  2. Step 2: Convert to fraction form
    497,847.53/687,028.64 = 271,493.03/x
  3. Step 3: Cross multiply
    497,847.53x = 687,028.64 × 271,493.03
  4. Step 4: Simplify right side
    497,847.53x = 186,523,487,530.49
  5. Step 5: Solve for x
    x = 186,523,487,530.49/497,847.53
  6. Step 6: Final answer
    x = 374,659.86

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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.