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Finding the Fourth Proportional to 285,649.59, 394,322 and 199,945.17

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Solution

The fourth proportional to 285,649.59, 394,322 and 199,945.17 is: 276,012.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,649.59 : 394,322 = 199,945.17 : x
  2. Step 2: Convert to fraction form
    285,649.59/394,322 = 199,945.17/x
  3. Step 3: Cross multiply
    285,649.59x = 394,322 × 199,945.17
  4. Step 4: Simplify right side
    285,649.59x = 78,842,779,324.74
  5. Step 5: Solve for x
    x = 78,842,779,324.74/285,649.59
  6. Step 6: Final answer
    x = 276,012.23

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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.