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Finding the Fourth Proportional to 547,414.92, 821,145.06 and 187,832.97

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Solution

The fourth proportional to 547,414.92, 821,145.06 and 187,832.97 is: 281,757.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,414.92 : 821,145.06 = 187,832.97 : x
  2. Step 2: Convert to fraction form
    547,414.92/821,145.06 = 187,832.97/x
  3. Step 3: Cross multiply
    547,414.92x = 821,145.06 × 187,832.97
  4. Step 4: Simplify right side
    547,414.92x = 154,238,115,420.63
  5. Step 5: Solve for x
    x = 154,238,115,420.63/547,414.92
  6. Step 6: Final answer
    x = 281,757.24

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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.