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Finding the Fourth Proportional to 561,233.41, 842,219.17 and 206,250.50

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Solution

The fourth proportional to 561,233.41, 842,219.17 and 206,250.50 is: 309,511.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,233.41 : 842,219.17 = 206,250.50 : x
  2. Step 2: Convert to fraction form
    561,233.41/842,219.17 = 206,250.50/x
  3. Step 3: Cross multiply
    561,233.41x = 842,219.17 × 206,250.50
  4. Step 4: Simplify right side
    561,233.41x = 173,708,126,512.01
  5. Step 5: Solve for x
    x = 173,708,126,512.01/561,233.41
  6. Step 6: Final answer
    x = 309,511.38

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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.