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Finding the Fourth Proportional to 345,694.08, 477,163.20 and 200,536.48

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Solution

The fourth proportional to 345,694.08, 477,163.20 and 200,536.48 is: 276,801.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,694.08 : 477,163.20 = 200,536.48 : x
  2. Step 2: Convert to fraction form
    345,694.08/477,163.20 = 200,536.48/x
  3. Step 3: Cross multiply
    345,694.08x = 477,163.20 × 200,536.48
  4. Step 4: Simplify right side
    345,694.08x = 95,688,628,513.54
  5. Step 5: Solve for x
    x = 95,688,628,513.54/345,694.08
  6. Step 6: Final answer
    x = 276,801.47

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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.