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Finding the Fourth Proportional to 304,944.68, 420,817.36 and 168,977.44

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Solution

The fourth proportional to 304,944.68, 420,817.36 and 168,977.44 is: 233,185.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,944.68 : 420,817.36 = 168,977.44 : x
  2. Step 2: Convert to fraction form
    304,944.68/420,817.36 = 168,977.44/x
  3. Step 3: Cross multiply
    304,944.68x = 420,817.36 × 168,977.44
  4. Step 4: Simplify right side
    304,944.68x = 71,108,640,200.36
  5. Step 5: Solve for x
    x = 71,108,640,200.36/304,944.68
  6. Step 6: Final answer
    x = 233,185.38

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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.