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Finding the Fourth Proportional to 416,412.37, 574,649.25 and 225,425.75

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Solution

The fourth proportional to 416,412.37, 574,649.25 and 225,425.75 is: 311,087.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,412.37 : 574,649.25 = 225,425.75 : x
  2. Step 2: Convert to fraction form
    416,412.37/574,649.25 = 225,425.75/x
  3. Step 3: Cross multiply
    416,412.37x = 574,649.25 × 225,425.75
  4. Step 4: Simplify right side
    416,412.37x = 129,540,738,168.19
  5. Step 5: Solve for x
    x = 129,540,738,168.19/416,412.37
  6. Step 6: Final answer
    x = 311,087.63

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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.