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Finding the Fourth Proportional to 494,200.99, 741,020.51 and 194,519.12

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Solution

The fourth proportional to 494,200.99, 741,020.51 and 194,519.12 is: 291,668.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,200.99 : 741,020.51 = 194,519.12 : x
  2. Step 2: Convert to fraction form
    494,200.99/741,020.51 = 194,519.12/x
  3. Step 3: Cross multiply
    494,200.99x = 741,020.51 × 194,519.12
  4. Step 4: Simplify right side
    494,200.99x = 144,142,654,288.35
  5. Step 5: Solve for x
    x = 144,142,654,288.35/494,200.99
  6. Step 6: Final answer
    x = 291,668.08

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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.