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Finding the Fourth Proportional to 524,286.62, 723,508.61 and 294,843.85

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Solution

The fourth proportional to 524,286.62, 723,508.61 and 294,843.85 is: 406,880.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,286.62 : 723,508.61 = 294,843.85 : x
  2. Step 2: Convert to fraction form
    524,286.62/723,508.61 = 294,843.85/x
  3. Step 3: Cross multiply
    524,286.62x = 723,508.61 × 294,843.85
  4. Step 4: Simplify right side
    524,286.62x = 213,322,060,797.56
  5. Step 5: Solve for x
    x = 213,322,060,797.56/524,286.62
  6. Step 6: Final answer
    x = 406,880.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.