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Finding the Fourth Proportional to 416,533.10, 574,815.69 and 225,546.49

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Solution

The fourth proportional to 416,533.10, 574,815.69 and 225,546.49 is: 311,254.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,533.10 : 574,815.69 = 225,546.49 : x
  2. Step 2: Convert to fraction form
    416,533.10/574,815.69 = 225,546.49/x
  3. Step 3: Cross multiply
    416,533.10x = 574,815.69 × 225,546.49
  4. Step 4: Simplify right side
    416,533.10x = 129,647,659,569.94
  5. Step 5: Solve for x
    x = 129,647,659,569.94/416,533.10
  6. Step 6: Final answer
    x = 311,254.16

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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.