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Finding the Fourth Proportional to 394,191.84, 543,971.28 and 224,393.12

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Solution

The fourth proportional to 394,191.84, 543,971.28 and 224,393.12 is: 309,654.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,191.84 : 543,971.28 = 224,393.12 : x
  2. Step 2: Convert to fraction form
    394,191.84/543,971.28 = 224,393.12/x
  3. Step 3: Cross multiply
    394,191.84x = 543,971.28 × 224,393.12
  4. Step 4: Simplify right side
    394,191.84x = 122,063,412,709.59
  5. Step 5: Solve for x
    x = 122,063,412,709.59/394,191.84
  6. Step 6: Final answer
    x = 309,654.84

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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.