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Finding the Fourth Proportional to 275,175.82, 412,180.53 and 207,874.54

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Solution

The fourth proportional to 275,175.82, 412,180.53 and 207,874.54 is: 311,371.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,175.82 : 412,180.53 = 207,874.54 : x
  2. Step 2: Convert to fraction form
    275,175.82/412,180.53 = 207,874.54/x
  3. Step 3: Cross multiply
    275,175.82x = 412,180.53 × 207,874.54
  4. Step 4: Simplify right side
    275,175.82x = 85,681,838,070.71
  5. Step 5: Solve for x
    x = 85,681,838,070.71/275,175.82
  6. Step 6: Final answer
    x = 311,371.25

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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.