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Finding the Fourth Proportional to 494,514.80, 741,448.20 and 194,814.80

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Solution

The fourth proportional to 494,514.80, 741,448.20 and 194,814.80 is: 292,094.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,514.80 : 741,448.20 = 194,814.80 : x
  2. Step 2: Convert to fraction form
    494,514.80/741,448.20 = 194,814.80/x
  3. Step 3: Cross multiply
    494,514.80x = 741,448.20 × 194,814.80
  4. Step 4: Simplify right side
    494,514.80x = 144,445,082,793.36
  5. Step 5: Solve for x
    x = 144,445,082,793.36/494,514.80
  6. Step 6: Final answer
    x = 292,094.56

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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.