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Finding the Fourth Proportional to 406,230.12, 560,596.14 and 227,382.12

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Solution

The fourth proportional to 406,230.12, 560,596.14 and 227,382.12 is: 313,786.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,230.12 : 560,596.14 = 227,382.12 : x
  2. Step 2: Convert to fraction form
    406,230.12/560,596.14 = 227,382.12/x
  3. Step 3: Cross multiply
    406,230.12x = 560,596.14 × 227,382.12
  4. Step 4: Simplify right side
    406,230.12x = 127,469,538,777.02
  5. Step 5: Solve for x
    x = 127,469,538,777.02/406,230.12
  6. Step 6: Final answer
    x = 313,786.53

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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.