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Finding the Fourth Proportional to 416,415.37, 574,653.39 and 225,428.75

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Solution

The fourth proportional to 416,415.37, 574,653.39 and 225,428.75 is: 311,091.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,415.37 : 574,653.39 = 225,428.75 : x
  2. Step 2: Convert to fraction form
    416,415.37/574,653.39 = 225,428.75/x
  3. Step 3: Cross multiply
    416,415.37x = 574,653.39 × 225,428.75
  4. Step 4: Simplify right side
    416,415.37x = 129,543,395,390.96
  5. Step 5: Solve for x
    x = 129,543,395,390.96/416,415.37
  6. Step 6: Final answer
    x = 311,091.78

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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.