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Finding the Fourth Proportional to 274,769.58, 414,340.59 and 271,022.52

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Solution

The fourth proportional to 274,769.58, 414,340.59 and 271,022.52 is: 408,690.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,769.58 : 414,340.59 = 271,022.52 : x
  2. Step 2: Convert to fraction form
    274,769.58/414,340.59 = 271,022.52/x
  3. Step 3: Cross multiply
    274,769.58x = 414,340.59 × 271,022.52
  4. Step 4: Simplify right side
    274,769.58x = 112,295,630,840.09
  5. Step 5: Solve for x
    x = 112,295,630,840.09/274,769.58
  6. Step 6: Final answer
    x = 408,690.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.