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Finding the Fourth Proportional to 410,819.41, 616,220.91 and 186,137.97

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Solution

The fourth proportional to 410,819.41, 616,220.91 and 186,137.97 is: 279,203.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,819.41 : 616,220.91 = 186,137.97 : x
  2. Step 2: Convert to fraction form
    410,819.41/616,220.91 = 186,137.97/x
  3. Step 3: Cross multiply
    410,819.41x = 616,220.91 × 186,137.97
  4. Step 4: Simplify right side
    410,819.41x = 114,702,109,258.95
  5. Step 5: Solve for x
    x = 114,702,109,258.95/410,819.41
  6. Step 6: Final answer
    x = 279,203.24

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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.