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Finding the Fourth Proportional to 416,400.06, 574,632.39 and 225,413.61

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Solution

The fourth proportional to 416,400.06, 574,632.39 and 225,413.61 is: 311,070.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,400.06 : 574,632.39 = 225,413.61 : x
  2. Step 2: Convert to fraction form
    416,400.06/574,632.39 = 225,413.61/x
  3. Step 3: Cross multiply
    416,400.06x = 574,632.39 × 225,413.61
  4. Step 4: Simplify right side
    416,400.06x = 129,529,961,452.83
  5. Step 5: Solve for x
    x = 129,529,961,452.83/416,400.06
  6. Step 6: Final answer
    x = 311,070.95

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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.