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Finding the Fourth Proportional to 416,240.42, 574,413.20 and 225,253.76

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Solution

The fourth proportional to 416,240.42, 574,413.20 and 225,253.76 is: 310,850.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,240.42 : 574,413.20 = 225,253.76 : x
  2. Step 2: Convert to fraction form
    416,240.42/574,413.20 = 225,253.76/x
  3. Step 3: Cross multiply
    416,240.42x = 574,413.20 × 225,253.76
  4. Step 4: Simplify right side
    416,240.42x = 129,388,733,093.63
  5. Step 5: Solve for x
    x = 129,388,733,093.63/416,240.42
  6. Step 6: Final answer
    x = 310,850.96

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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.