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Finding the Fourth Proportional to 304,296, 419,920.92 and 168,335.34

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Solution

The fourth proportional to 304,296, 419,920.92 and 168,335.34 is: 232,298.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,296 : 419,920.92 = 168,335.34 : x
  2. Step 2: Convert to fraction form
    304,296/419,920.92 = 168,335.34/x
  3. Step 3: Cross multiply
    304,296x = 419,920.92 × 168,335.34
  4. Step 4: Simplify right side
    304,296x = 70,687,530,841.31
  5. Step 5: Solve for x
    x = 70,687,530,841.31/304,296
  6. Step 6: Final answer
    x = 232,298.59

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