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Finding the Fourth Proportional to 547,832.12, 821,671.63 and 187,997.31

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Solution

The fourth proportional to 547,832.12, 821,671.63 and 187,997.31 is: 281,969.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,832.12 : 821,671.63 = 187,997.31 : x
  2. Step 2: Convert to fraction form
    547,832.12/821,671.63 = 187,997.31/x
  3. Step 3: Cross multiply
    547,832.12x = 821,671.63 × 187,997.31
  4. Step 4: Simplify right side
    547,832.12x = 154,472,055,673.32
  5. Step 5: Solve for x
    x = 154,472,055,673.32/547,832.12
  6. Step 6: Final answer
    x = 281,969.70

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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.