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Finding the Fourth Proportional to 277,570.88, 416,413.92 and 111,371.84

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Solution

The fourth proportional to 277,570.88, 416,413.92 and 111,371.84 is: 167,080.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,570.88 : 416,413.92 = 111,371.84 : x
  2. Step 2: Convert to fraction form
    277,570.88/416,413.92 = 111,371.84/x
  3. Step 3: Cross multiply
    277,570.88x = 416,413.92 × 111,371.84
  4. Step 4: Simplify right side
    277,570.88x = 46,376,784,472.01
  5. Step 5: Solve for x
    x = 46,376,784,472.01/277,570.88
  6. Step 6: Final answer
    x = 167,080.87

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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.