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Finding the Fourth Proportional to 511,496.12, 705,906.66 and 282,098.27

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Solution

The fourth proportional to 511,496.12, 705,906.66 and 282,098.27 is: 389,318.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,496.12 : 705,906.66 = 282,098.27 : x
  2. Step 2: Convert to fraction form
    511,496.12/705,906.66 = 282,098.27/x
  3. Step 3: Cross multiply
    511,496.12x = 705,906.66 × 282,098.27
  4. Step 4: Simplify right side
    511,496.12x = 199,135,047,567.48
  5. Step 5: Solve for x
    x = 199,135,047,567.48/511,496.12
  6. Step 6: Final answer
    x = 389,318.78

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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.