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Finding the Fourth Proportional to 361,708.52, 499,163.76 and 200,570.36

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Solution

The fourth proportional to 361,708.52, 499,163.76 and 200,570.36 is: 276,790.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,708.52 : 499,163.76 = 200,570.36 : x
  2. Step 2: Convert to fraction form
    361,708.52/499,163.76 = 200,570.36/x
  3. Step 3: Cross multiply
    361,708.52x = 499,163.76 × 200,570.36
  4. Step 4: Simplify right side
    361,708.52x = 100,117,455,042.15
  5. Step 5: Solve for x
    x = 100,117,455,042.15/361,708.52
  6. Step 6: Final answer
    x = 276,790.43

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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.