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Finding the Fourth Proportional to 263,814, 364,560.12 and 200,033.52

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Solution

The fourth proportional to 263,814, 364,560.12 and 200,033.52 is: 276,422.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,814 : 364,560.12 = 200,033.52 : x
  2. Step 2: Convert to fraction form
    263,814/364,560.12 = 200,033.52/x
  3. Step 3: Cross multiply
    263,814x = 364,560.12 × 200,033.52
  4. Step 4: Simplify right side
    263,814x = 72,924,244,055.22
  5. Step 5: Solve for x
    x = 72,924,244,055.22/263,814
  6. Step 6: Final answer
    x = 276,422.95

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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.