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Finding the Fourth Proportional to 377,413.08, 565,902.54 and 225,761.64

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Solution

The fourth proportional to 377,413.08, 565,902.54 and 225,761.64 is: 338,512.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,413.08 : 565,902.54 = 225,761.64 : x
  2. Step 2: Convert to fraction form
    377,413.08/565,902.54 = 225,761.64/x
  3. Step 3: Cross multiply
    377,413.08x = 565,902.54 × 225,761.64
  4. Step 4: Simplify right side
    377,413.08x = 127,759,085,510.57
  5. Step 5: Solve for x
    x = 127,759,085,510.57/377,413.08
  6. Step 6: Final answer
    x = 338,512.61

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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.