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Finding the Fourth Proportional to 344,680.12, 475,643.21 and 199,462.64

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Solution

The fourth proportional to 344,680.12, 475,643.21 and 199,462.64 is: 275,249.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,680.12 : 475,643.21 = 199,462.64 : x
  2. Step 2: Convert to fraction form
    344,680.12/475,643.21 = 199,462.64/x
  3. Step 3: Cross multiply
    344,680.12x = 475,643.21 × 199,462.64
  4. Step 4: Simplify right side
    344,680.12x = 94,873,049,367.36
  5. Step 5: Solve for x
    x = 94,873,049,367.36/344,680.12
  6. Step 6: Final answer
    x = 275,249.56

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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.