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Finding the Fourth Proportional to 945,934, 1,305,416.44 and 516,241.82

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Solution

The fourth proportional to 945,934, 1,305,416.44 and 516,241.82 is: 712,428.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,934 : 1,305,416.44 = 516,241.82 : x
  2. Step 2: Convert to fraction form
    945,934/1,305,416.44 = 516,241.82/x
  3. Step 3: Cross multiply
    945,934x = 1,305,416.44 × 516,241.82
  4. Step 4: Simplify right side
    945,934x = 673,910,558,843.52
  5. Step 5: Solve for x
    x = 673,910,558,843.52/945,934
  6. Step 6: Final answer
    x = 712,428.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.