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Finding the Fourth Proportional to 827,643.20, 1,241,695.20 and 406,932.80

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Solution

The fourth proportional to 827,643.20, 1,241,695.20 and 406,932.80 is: 610,512.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,643.20 : 1,241,695.20 = 406,932.80 : x
  2. Step 2: Convert to fraction form
    827,643.20/1,241,695.20 = 406,932.80/x
  3. Step 3: Cross multiply
    827,643.20x = 1,241,695.20 × 406,932.80
  4. Step 4: Simplify right side
    827,643.20x = 505,286,504,482.56
  5. Step 5: Solve for x
    x = 505,286,504,482.56/827,643.20
  6. Step 6: Final answer
    x = 610,512.48

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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.