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Finding the Fourth Proportional to 416,218.22, 574,382.57 and 225,231.56

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Solution

The fourth proportional to 416,218.22, 574,382.57 and 225,231.56 is: 310,820.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,218.22 : 574,382.57 = 225,231.56 : x
  2. Step 2: Convert to fraction form
    416,218.22/574,382.57 = 225,231.56/x
  3. Step 3: Cross multiply
    416,218.22x = 574,382.57 × 225,231.56
  4. Step 4: Simplify right side
    416,218.22x = 129,369,078,279.84
  5. Step 5: Solve for x
    x = 129,369,078,279.84/416,218.22
  6. Step 6: Final answer
    x = 310,820.32

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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.