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Finding the Fourth Proportional to 277,520.87, 416,408.48 and 150,971.54

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Solution

The fourth proportional to 277,520.87, 416,408.48 and 150,971.54 is: 226,526.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,520.87 : 416,408.48 = 150,971.54 : x
  2. Step 2: Convert to fraction form
    277,520.87/416,408.48 = 150,971.54/x
  3. Step 3: Cross multiply
    277,520.87x = 416,408.48 × 150,971.54
  4. Step 4: Simplify right side
    277,520.87x = 62,865,826,657.76
  5. Step 5: Solve for x
    x = 62,865,826,657.76/277,520.87
  6. Step 6: Final answer
    x = 226,526.49

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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.