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Finding the Fourth Proportional to 401,105.80, 601,658.70 and 233,144.20

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Solution

The fourth proportional to 401,105.80, 601,658.70 and 233,144.20 is: 349,716.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,105.80 : 601,658.70 = 233,144.20 : x
  2. Step 2: Convert to fraction form
    401,105.80/601,658.70 = 233,144.20/x
  3. Step 3: Cross multiply
    401,105.80x = 601,658.70 × 233,144.20
  4. Step 4: Simplify right side
    401,105.80x = 140,273,236,284.54
  5. Step 5: Solve for x
    x = 140,273,236,284.54/401,105.80
  6. Step 6: Final answer
    x = 349,716.30

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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.