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Finding the Fourth Proportional to 295,498.31, 407,797.38 and 166,439.19

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Solution

The fourth proportional to 295,498.31, 407,797.38 and 166,439.19 is: 229,691.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,498.31 : 407,797.38 = 166,439.19 : x
  2. Step 2: Convert to fraction form
    295,498.31/407,797.38 = 166,439.19/x
  3. Step 3: Cross multiply
    295,498.31x = 407,797.38 × 166,439.19
  4. Step 4: Simplify right side
    295,498.31x = 67,873,465,611.32
  5. Step 5: Solve for x
    x = 67,873,465,611.32/295,498.31
  6. Step 6: Final answer
    x = 229,691.56

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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.