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Finding the Fourth Proportional to 510,286.40, 765,337.44 and 194,672.96

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Solution

The fourth proportional to 510,286.40, 765,337.44 and 194,672.96 is: 291,974.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,286.40 : 765,337.44 = 194,672.96 : x
  2. Step 2: Convert to fraction form
    510,286.40/765,337.44 = 194,672.96/x
  3. Step 3: Cross multiply
    510,286.40x = 765,337.44 × 194,672.96
  4. Step 4: Simplify right side
    510,286.40x = 148,990,504,843.62
  5. Step 5: Solve for x
    x = 148,990,504,843.62/510,286.40
  6. Step 6: Final answer
    x = 291,974.28

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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.