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Finding the Fourth Proportional to 394,145.10, 543,920.76 and 224,379

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Solution

The fourth proportional to 394,145.10, 543,920.76 and 224,379 is: 309,643.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,145.10 : 543,920.76 = 224,379 : x
  2. Step 2: Convert to fraction form
    394,145.10/543,920.76 = 224,379/x
  3. Step 3: Cross multiply
    394,145.10x = 543,920.76 × 224,379
  4. Step 4: Simplify right side
    394,145.10x = 122,044,396,208.04
  5. Step 5: Solve for x
    x = 122,044,396,208.04/394,145.10
  6. Step 6: Final answer
    x = 309,643.32

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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.