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Finding the Fourth Proportional to 827,809.80, 1,242,006.30 and 406,804.20

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Solution

The fourth proportional to 827,809.80, 1,242,006.30 and 406,804.20 is: 610,349.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,809.80 : 1,242,006.30 = 406,804.20 : x
  2. Step 2: Convert to fraction form
    827,809.80/1,242,006.30 = 406,804.20/x
  3. Step 3: Cross multiply
    827,809.80x = 1,242,006.30 × 406,804.20
  4. Step 4: Simplify right side
    827,809.80x = 505,253,379,266.46
  5. Step 5: Solve for x
    x = 505,253,379,266.46/827,809.80
  6. Step 6: Final answer
    x = 610,349.60

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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.