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Finding the Fourth Proportional to 394,187.84, 543,965.76 and 224,389.12

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Solution

The fourth proportional to 394,187.84, 543,965.76 and 224,389.12 is: 309,649.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,187.84 : 543,965.76 = 224,389.12 : x
  2. Step 2: Convert to fraction form
    394,187.84/543,965.76 = 224,389.12/x
  3. Step 3: Cross multiply
    394,187.84x = 543,965.76 × 224,389.12
  4. Step 4: Simplify right side
    394,187.84x = 122,059,998,196.53
  5. Step 5: Solve for x
    x = 122,059,998,196.53/394,187.84
  6. Step 6: Final answer
    x = 309,649.32

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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.