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Finding the Fourth Proportional to 494,514.30, 741,447.45 and 194,814.30

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Solution

The fourth proportional to 494,514.30, 741,447.45 and 194,814.30 is: 292,093.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,514.30 : 741,447.45 = 194,814.30 : x
  2. Step 2: Convert to fraction form
    494,514.30/741,447.45 = 194,814.30/x
  3. Step 3: Cross multiply
    494,514.30x = 741,447.45 × 194,814.30
  4. Step 4: Simplify right side
    494,514.30x = 144,444,565,958.54
  5. Step 5: Solve for x
    x = 144,444,565,958.54/494,514.30
  6. Step 6: Final answer
    x = 292,093.81

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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.