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Finding the Fourth Proportional to 295,832.72, 408,285.11 and 166,796.06

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Solution

The fourth proportional to 295,832.72, 408,285.11 and 166,796.06 is: 230,198.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,832.72 : 408,285.11 = 166,796.06 : x
  2. Step 2: Convert to fraction form
    295,832.72/408,285.11 = 166,796.06/x
  3. Step 3: Cross multiply
    295,832.72x = 408,285.11 × 166,796.06
  4. Step 4: Simplify right side
    295,832.72x = 68,100,346,080.23
  5. Step 5: Solve for x
    x = 68,100,346,080.23/295,832.72
  6. Step 6: Final answer
    x = 230,198.83

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1.5x scale

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.