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Finding the Fourth Proportional to 288,625.24, 398,320.51 and 161,311

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Solution

The fourth proportional to 288,625.24, 398,320.51 and 161,311 is: 222,619.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,625.24 : 398,320.51 = 161,311 : x
  2. Step 2: Convert to fraction form
    288,625.24/398,320.51 = 161,311/x
  3. Step 3: Cross multiply
    288,625.24x = 398,320.51 × 161,311
  4. Step 4: Simplify right side
    288,625.24x = 64,253,479,788.61
  5. Step 5: Solve for x
    x = 64,253,479,788.61/288,625.24
  6. Step 6: Final answer
    x = 222,619.06

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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.