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Finding the Fourth Proportional to 269,433.70, 403,713.15 and 169,414.90

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Solution

The fourth proportional to 269,433.70, 403,713.15 and 169,414.90 is: 253,847.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,433.70 : 403,713.15 = 169,414.90 : x
  2. Step 2: Convert to fraction form
    269,433.70/403,713.15 = 169,414.90/x
  3. Step 3: Cross multiply
    269,433.70x = 403,713.15 × 169,414.90
  4. Step 4: Simplify right side
    269,433.70x = 68,395,022,935.94
  5. Step 5: Solve for x
    x = 68,395,022,935.94/269,433.70
  6. Step 6: Final answer
    x = 253,847.32

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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.