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Finding the Fourth Proportional to 349,694.88, 524,175.12 and 191,876.64

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Solution

The fourth proportional to 349,694.88, 524,175.12 and 191,876.64 is: 287,613.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,694.88 : 524,175.12 = 191,876.64 : x
  2. Step 2: Convert to fraction form
    349,694.88/524,175.12 = 191,876.64/x
  3. Step 3: Cross multiply
    349,694.88x = 524,175.12 × 191,876.64
  4. Step 4: Simplify right side
    349,694.88x = 100,576,960,797.20
  5. Step 5: Solve for x
    x = 100,576,960,797.20/349,694.88
  6. Step 6: Final answer
    x = 287,613.48

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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.