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Finding the Fourth Proportional to 299,263.20, 412,695.16 and 201,367.04

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Solution

The fourth proportional to 299,263.20, 412,695.16 and 201,367.04 is: 277,692.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,263.20 : 412,695.16 = 201,367.04 : x
  2. Step 2: Convert to fraction form
    299,263.20/412,695.16 = 201,367.04/x
  3. Step 3: Cross multiply
    299,263.20x = 412,695.16 × 201,367.04
  4. Step 4: Simplify right side
    299,263.20x = 83,103,202,791.53
  5. Step 5: Solve for x
    x = 83,103,202,791.53/299,263.20
  6. Step 6: Final answer
    x = 277,692.69

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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.