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Finding the Fourth Proportional to 416,401.02, 574,634.66 and 225,413.96

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Solution

The fourth proportional to 416,401.02, 574,634.66 and 225,413.96 is: 311,071.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,401.02 : 574,634.66 = 225,413.96 : x
  2. Step 2: Convert to fraction form
    416,401.02/574,634.66 = 225,413.96/x
  3. Step 3: Cross multiply
    416,401.02x = 574,634.66 × 225,413.96
  4. Step 4: Simplify right side
    416,401.02x = 129,530,670,263.61
  5. Step 5: Solve for x
    x = 129,530,670,263.61/416,401.02
  6. Step 6: Final answer
    x = 311,071.93

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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.