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Finding the Fourth Proportional to 416,227.25, 574,393.61 and 225,240.64

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Solution

The fourth proportional to 416,227.25, 574,393.61 and 225,240.64 is: 310,832.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,227.25 : 574,393.61 = 225,240.64 : x
  2. Step 2: Convert to fraction form
    416,227.25/574,393.61 = 225,240.64/x
  3. Step 3: Cross multiply
    416,227.25x = 574,393.61 × 225,240.64
  4. Step 4: Simplify right side
    416,227.25x = 129,376,784,328.31
  5. Step 5: Solve for x
    x = 129,376,784,328.31/416,227.25
  6. Step 6: Final answer
    x = 310,832.09

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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.