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Finding the Fourth Proportional to 401,380.98, 601,650.02 and 135,049.04

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Solution

The fourth proportional to 401,380.98, 601,650.02 and 135,049.04 is: 202,431.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,380.98 : 601,650.02 = 135,049.04 : x
  2. Step 2: Convert to fraction form
    401,380.98/601,650.02 = 135,049.04/x
  3. Step 3: Cross multiply
    401,380.98x = 601,650.02 × 135,049.04
  4. Step 4: Simplify right side
    401,380.98x = 81,252,257,616.98
  5. Step 5: Solve for x
    x = 81,252,257,616.98/401,380.98
  6. Step 6: Final answer
    x = 202,431.76

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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.