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Finding the Fourth Proportional to 524,286.22, 723,508.09 and 294,843.43

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Solution

The fourth proportional to 524,286.22, 723,508.09 and 294,843.43 is: 406,880.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,286.22 : 723,508.09 = 294,843.43 : x
  2. Step 2: Convert to fraction form
    524,286.22/723,508.09 = 294,843.43/x
  3. Step 3: Cross multiply
    524,286.22x = 723,508.09 × 294,843.43
  4. Step 4: Simplify right side
    524,286.22x = 213,321,606,888.35
  5. Step 5: Solve for x
    x = 213,321,606,888.35/524,286.22
  6. Step 6: Final answer
    x = 406,880.06

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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.