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Finding the Fourth Proportional to 541,853.53, 747,687.03 and 312,419.41

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Solution

The fourth proportional to 541,853.53, 747,687.03 and 312,419.41 is: 431,097.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,853.53 : 747,687.03 = 312,419.41 : x
  2. Step 2: Convert to fraction form
    541,853.53/747,687.03 = 312,419.41/x
  3. Step 3: Cross multiply
    541,853.53x = 747,687.03 × 312,419.41
  4. Step 4: Simplify right side
    541,853.53x = 233,591,940,777.25
  5. Step 5: Solve for x
    x = 233,591,940,777.25/541,853.53
  6. Step 6: Final answer
    x = 431,097.94

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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.