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Finding the Fourth Proportional to 827,996.80, 1,242,286.80 and 406,991.20

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Solution

The fourth proportional to 827,996.80, 1,242,286.80 and 406,991.20 is: 610,630.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,996.80 : 1,242,286.80 = 406,991.20 : x
  2. Step 2: Convert to fraction form
    827,996.80/1,242,286.80 = 406,991.20/x
  3. Step 3: Cross multiply
    827,996.80x = 1,242,286.80 × 406,991.20
  4. Step 4: Simplify right side
    827,996.80x = 505,599,795,476.16
  5. Step 5: Solve for x
    x = 505,599,795,476.16/827,996.80
  6. Step 6: Final answer
    x = 610,630.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.