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Finding the Fourth Proportional to 265,819.86, 398,286.05 and 186,792.62

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Solution

The fourth proportional to 265,819.86, 398,286.05 and 186,792.62 is: 279,877.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,819.86 : 398,286.05 = 186,792.62 : x
  2. Step 2: Convert to fraction form
    265,819.86/398,286.05 = 186,792.62/x
  3. Step 3: Cross multiply
    265,819.86x = 398,286.05 × 186,792.62
  4. Step 4: Simplify right side
    265,819.86x = 74,396,891,863.56
  5. Step 5: Solve for x
    x = 74,396,891,863.56/265,819.86
  6. Step 6: Final answer
    x = 279,877.10

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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.