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Finding the Fourth Proportional to 381,046.36, 571,452.81 and 263,473.24

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Solution

The fourth proportional to 381,046.36, 571,452.81 and 263,473.24 is: 395,129.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,046.36 : 571,452.81 = 263,473.24 : x
  2. Step 2: Convert to fraction form
    381,046.36/571,452.81 = 263,473.24/x
  3. Step 3: Cross multiply
    381,046.36x = 571,452.81 × 263,473.24
  4. Step 4: Simplify right side
    381,046.36x = 150,562,523,357.80
  5. Step 5: Solve for x
    x = 150,562,523,357.80/381,046.36
  6. Step 6: Final answer
    x = 395,129.15

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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.