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Finding the Fourth Proportional to 694,988, 959,076.96 and 393,182

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Solution

The fourth proportional to 694,988, 959,076.96 and 393,182 is: 542,587.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,988 : 959,076.96 = 393,182 : x
  2. Step 2: Convert to fraction form
    694,988/959,076.96 = 393,182/x
  3. Step 3: Cross multiply
    694,988x = 959,076.96 × 393,182
  4. Step 4: Simplify right side
    694,988x = 377,091,797,286.72
  5. Step 5: Solve for x
    x = 377,091,797,286.72/694,988
  6. Step 6: Final answer
    x = 542,587.49

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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.