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Finding the Fourth Proportional to 393,678, 543,304.84 and 223,966.80

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Solution

The fourth proportional to 393,678, 543,304.84 and 223,966.80 is: 309,090.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,678 : 543,304.84 = 223,966.80 : x
  2. Step 2: Convert to fraction form
    393,678/543,304.84 = 223,966.80/x
  3. Step 3: Cross multiply
    393,678x = 543,304.84 × 223,966.80
  4. Step 4: Simplify right side
    393,678x = 121,682,246,439.31
  5. Step 5: Solve for x
    x = 121,682,246,439.31/393,678
  6. Step 6: Final answer
    x = 309,090.80

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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.