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Finding the Fourth Proportional to 274,574.22, 378,957.77 and 188,462.46

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Solution

The fourth proportional to 274,574.22, 378,957.77 and 188,462.46 is: 260,109.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,574.22 : 378,957.77 = 188,462.46 : x
  2. Step 2: Convert to fraction form
    274,574.22/378,957.77 = 188,462.46/x
  3. Step 3: Cross multiply
    274,574.22x = 378,957.77 × 188,462.46
  4. Step 4: Simplify right side
    274,574.22x = 71,419,313,570.31
  5. Step 5: Solve for x
    x = 71,419,313,570.31/274,574.22
  6. Step 6: Final answer
    x = 260,109.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.