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Finding the Fourth Proportional to 537,868.82, 806,709.72 and 200,912.37

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Solution

The fourth proportional to 537,868.82, 806,709.72 and 200,912.37 is: 301,333.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,868.82 : 806,709.72 = 200,912.37 : x
  2. Step 2: Convert to fraction form
    537,868.82/806,709.72 = 200,912.37/x
  3. Step 3: Cross multiply
    537,868.82x = 806,709.72 × 200,912.37
  4. Step 4: Simplify right side
    537,868.82x = 162,077,961,747.24
  5. Step 5: Solve for x
    x = 162,077,961,747.24/537,868.82
  6. Step 6: Final answer
    x = 301,333.63

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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.