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Finding the Fourth Proportional to 370,142.24, 510,797.40 and 200,375.96

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Solution

The fourth proportional to 370,142.24, 510,797.40 and 200,375.96 is: 276,519.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,142.24 : 510,797.40 = 200,375.96 : x
  2. Step 2: Convert to fraction form
    370,142.24/510,797.40 = 200,375.96/x
  3. Step 3: Cross multiply
    370,142.24x = 510,797.40 × 200,375.96
  4. Step 4: Simplify right side
    370,142.24x = 102,351,519,390.50
  5. Step 5: Solve for x
    x = 102,351,519,390.50/370,142.24
  6. Step 6: Final answer
    x = 276,519.43

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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.