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Finding the Fourth Proportional to 274,374.48, 378,695.92 and 166,979.16

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Solution

The fourth proportional to 274,374.48, 378,695.92 and 166,979.16 is: 230,467.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,374.48 : 378,695.92 = 166,979.16 : x
  2. Step 2: Convert to fraction form
    274,374.48/378,695.92 = 166,979.16/x
  3. Step 3: Cross multiply
    274,374.48x = 378,695.92 × 166,979.16
  4. Step 4: Simplify right side
    274,374.48x = 63,234,326,617.03
  5. Step 5: Solve for x
    x = 63,234,326,617.03/274,374.48
  6. Step 6: Final answer
    x = 230,467.23

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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.