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Finding the Fourth Proportional to 295,872.32, 443,796.96 and 163,016

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Solution

The fourth proportional to 295,872.32, 443,796.96 and 163,016 is: 244,517.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,872.32 : 443,796.96 = 163,016 : x
  2. Step 2: Convert to fraction form
    295,872.32/443,796.96 = 163,016/x
  3. Step 3: Cross multiply
    295,872.32x = 443,796.96 × 163,016
  4. Step 4: Simplify right side
    295,872.32x = 72,346,005,231.36
  5. Step 5: Solve for x
    x = 72,346,005,231.36/295,872.32
  6. Step 6: Final answer
    x = 244,517.65

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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.