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Finding the Fourth Proportional to 413,889.75, 620,273.25 and 188,971.38

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Solution

The fourth proportional to 413,889.75, 620,273.25 and 188,971.38 is: 283,200.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,889.75 : 620,273.25 = 188,971.38 : x
  2. Step 2: Convert to fraction form
    413,889.75/620,273.25 = 188,971.38/x
  3. Step 3: Cross multiply
    413,889.75x = 620,273.25 × 188,971.38
  4. Step 4: Simplify right side
    413,889.75x = 117,213,892,029.59
  5. Step 5: Solve for x
    x = 117,213,892,029.59/413,889.75
  6. Step 6: Final answer
    x = 283,200.76

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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.