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Finding the Fourth Proportional to 349,694.85, 524,542.24 and 231,338.49

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Solution

The fourth proportional to 349,694.85, 524,542.24 and 231,338.49 is: 347,007.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,694.85 : 524,542.24 = 231,338.49 : x
  2. Step 2: Convert to fraction form
    349,694.85/524,542.24 = 231,338.49/x
  3. Step 3: Cross multiply
    349,694.85x = 524,542.24 × 231,338.49
  4. Step 4: Simplify right side
    349,694.85x = 121,346,808,586.13
  5. Step 5: Solve for x
    x = 121,346,808,586.13/349,694.85
  6. Step 6: Final answer
    x = 347,007.71

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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.