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Finding the Fourth Proportional to 469,697.28, 704,376 and 199,843.44

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Solution

The fourth proportional to 469,697.28, 704,376 and 199,843.44 is: 299,692.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,697.28 : 704,376 = 199,843.44 : x
  2. Step 2: Convert to fraction form
    469,697.28/704,376 = 199,843.44/x
  3. Step 3: Cross multiply
    469,697.28x = 704,376 × 199,843.44
  4. Step 4: Simplify right side
    469,697.28x = 140,764,922,893.44
  5. Step 5: Solve for x
    x = 140,764,922,893.44/469,697.28
  6. Step 6: Final answer
    x = 299,692.86

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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.