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Finding the Fourth Proportional to 394,264.92, 543,895.92 and 258,240

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Solution

The fourth proportional to 394,264.92, 543,895.92 and 258,240 is: 356,246.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,264.92 : 543,895.92 = 258,240 : x
  2. Step 2: Convert to fraction form
    394,264.92/543,895.92 = 258,240/x
  3. Step 3: Cross multiply
    394,264.92x = 543,895.92 × 258,240
  4. Step 4: Simplify right side
    394,264.92x = 140,455,682,380.80
  5. Step 5: Solve for x
    x = 140,455,682,380.80/394,264.92
  6. Step 6: Final answer
    x = 356,246.97

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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.