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Finding the Fourth Proportional to 511,249.34, 706,197.96 and 381,963.13

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Solution

The fourth proportional to 511,249.34, 706,197.96 and 381,963.13 is: 527,612.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,249.34 : 706,197.96 = 381,963.13 : x
  2. Step 2: Convert to fraction form
    511,249.34/706,197.96 = 381,963.13/x
  3. Step 3: Cross multiply
    511,249.34x = 706,197.96 × 381,963.13
  4. Step 4: Simplify right side
    511,249.34x = 269,741,581,435.72
  5. Step 5: Solve for x
    x = 269,741,581,435.72/511,249.34
  6. Step 6: Final answer
    x = 527,612.57

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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.