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Finding the Fourth Proportional to 377,413.21, 565,902.73 and 225,761.77

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Solution

The fourth proportional to 377,413.21, 565,902.73 and 225,761.77 is: 338,512.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,413.21 : 565,902.73 = 225,761.77 : x
  2. Step 2: Convert to fraction form
    377,413.21/565,902.73 = 225,761.77/x
  3. Step 3: Cross multiply
    377,413.21x = 565,902.73 × 225,761.77
  4. Step 4: Simplify right side
    377,413.21x = 127,759,198,578.71
  5. Step 5: Solve for x
    x = 127,759,198,578.71/377,413.21
  6. Step 6: Final answer
    x = 338,512.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.