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Finding the Fourth Proportional to 320,494.16, 442,418.12 and 199,695.13

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Solution

The fourth proportional to 320,494.16, 442,418.12 and 199,695.13 is: 275,664.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,494.16 : 442,418.12 = 199,695.13 : x
  2. Step 2: Convert to fraction form
    320,494.16/442,418.12 = 199,695.13/x
  3. Step 3: Cross multiply
    320,494.16x = 442,418.12 × 199,695.13
  4. Step 4: Simplify right side
    320,494.16x = 88,348,743,380.95
  5. Step 5: Solve for x
    x = 88,348,743,380.95/320,494.16
  6. Step 6: Final answer
    x = 275,664.13

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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.