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Finding the Fourth Proportional to 273,604.60, 410,536.78 and 189,494.20

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Solution

The fourth proportional to 273,604.60, 410,536.78 and 189,494.20 is: 284,331.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,604.60 : 410,536.78 = 189,494.20 : x
  2. Step 2: Convert to fraction form
    273,604.60/410,536.78 = 189,494.20/x
  3. Step 3: Cross multiply
    273,604.60x = 410,536.78 × 189,494.20
  4. Step 4: Simplify right side
    273,604.60x = 77,794,338,696.68
  5. Step 5: Solve for x
    x = 77,794,338,696.68/273,604.60
  6. Step 6: Final answer
    x = 284,331.25

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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.