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Finding the Fourth Proportional to 370,137.44, 510,789.56 and 200,371.44

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Solution

The fourth proportional to 370,137.44, 510,789.56 and 200,371.44 is: 276,512.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,137.44 : 510,789.56 = 200,371.44 : x
  2. Step 2: Convert to fraction form
    370,137.44/510,789.56 = 200,371.44/x
  3. Step 3: Cross multiply
    370,137.44x = 510,789.56 × 200,371.44
  4. Step 4: Simplify right side
    370,137.44x = 102,347,639,674.17
  5. Step 5: Solve for x
    x = 102,347,639,674.17/370,137.44
  6. Step 6: Final answer
    x = 276,512.53

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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.