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Finding the Fourth Proportional to 304,072, 419,611.68 and 169,936.96

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Solution

The fourth proportional to 304,072, 419,611.68 and 169,936.96 is: 234,508.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,072 : 419,611.68 = 169,936.96 : x
  2. Step 2: Convert to fraction form
    304,072/419,611.68 = 169,936.96/x
  3. Step 3: Cross multiply
    304,072x = 419,611.68 × 169,936.96
  4. Step 4: Simplify right side
    304,072x = 71,307,533,279.69
  5. Step 5: Solve for x
    x = 71,307,533,279.69/304,072
  6. Step 6: Final answer
    x = 234,508.71

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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.