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Finding the Fourth Proportional to 441,175.83, 661,496.49 and 197,972.30

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Solution

The fourth proportional to 441,175.83, 661,496.49 and 197,972.30 is: 296,838.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,175.83 : 661,496.49 = 197,972.30 : x
  2. Step 2: Convert to fraction form
    441,175.83/661,496.49 = 197,972.30/x
  3. Step 3: Cross multiply
    441,175.83x = 661,496.49 × 197,972.30
  4. Step 4: Simplify right side
    441,175.83x = 130,957,978,259.75
  5. Step 5: Solve for x
    x = 130,957,978,259.75/441,175.83
  6. Step 6: Final answer
    x = 296,838.52

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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.