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Finding the Fourth Proportional to 259,578.36, 358,380.30 and 199,032.63

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Solution

The fourth proportional to 259,578.36, 358,380.30 and 199,032.63 is: 274,789.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,578.36 : 358,380.30 = 199,032.63 : x
  2. Step 2: Convert to fraction form
    259,578.36/358,380.30 = 199,032.63/x
  3. Step 3: Cross multiply
    259,578.36x = 358,380.30 × 199,032.63
  4. Step 4: Simplify right side
    259,578.36x = 71,329,373,649.19
  5. Step 5: Solve for x
    x = 71,329,373,649.19/259,578.36
  6. Step 6: Final answer
    x = 274,789.37

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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.