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Finding the Fourth Proportional to 544,517.40, 814,832.10 and 344,933.40

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Solution

The fourth proportional to 544,517.40, 814,832.10 and 344,933.40 is: 516,168.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,517.40 : 814,832.10 = 344,933.40 : x
  2. Step 2: Convert to fraction form
    544,517.40/814,832.10 = 344,933.40/x
  3. Step 3: Cross multiply
    544,517.40x = 814,832.10 × 344,933.40
  4. Step 4: Simplify right side
    544,517.40x = 281,062,806,682.14
  5. Step 5: Solve for x
    x = 281,062,806,682.14/544,517.40
  6. Step 6: Final answer
    x = 516,168.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.