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Finding the Fourth Proportional to 511,983.22, 706,531.89 and 282,542.62

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Solution

The fourth proportional to 511,983.22, 706,531.89 and 282,542.62 is: 389,906.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,983.22 : 706,531.89 = 282,542.62 : x
  2. Step 2: Convert to fraction form
    511,983.22/706,531.89 = 282,542.62/x
  3. Step 3: Cross multiply
    511,983.22x = 706,531.89 × 282,542.62
  4. Step 4: Simplify right side
    511,983.22x = 199,625,371,314.15
  5. Step 5: Solve for x
    x = 199,625,371,314.15/511,983.22
  6. Step 6: Final answer
    x = 389,906.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.