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Finding the Fourth Proportional to 277,620.40, 383,115.67 and 150,295.96

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Solution

The fourth proportional to 277,620.40, 383,115.67 and 150,295.96 is: 207,408.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,620.40 : 383,115.67 = 150,295.96 : x
  2. Step 2: Convert to fraction form
    277,620.40/383,115.67 = 150,295.96/x
  3. Step 3: Cross multiply
    277,620.40x = 383,115.67 × 150,295.96
  4. Step 4: Simplify right side
    277,620.40x = 57,580,737,413.69
  5. Step 5: Solve for x
    x = 57,580,737,413.69/277,620.40
  6. Step 6: Final answer
    x = 207,408.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.