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Finding the Fourth Proportional to 304,174, 456,261 and 82,558

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Solution

The fourth proportional to 304,174, 456,261 and 82,558 is: 123,837

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,174 : 456,261 = 82,558 : x
  2. Step 2: Convert to fraction form
    304,174/456,261 = 82,558/x
  3. Step 3: Cross multiply
    304,174x = 456,261 × 82,558
  4. Step 4: Simplify right side
    304,174x = 37,667,995,638
  5. Step 5: Solve for x
    x = 37,667,995,638/304,174
  6. Step 6: Final answer
    x = 123,837

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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.