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Finding the Fourth Proportional to 277,825.50, 383,401.86 and 150,503.85

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Solution

The fourth proportional to 277,825.50, 383,401.86 and 150,503.85 is: 207,696.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,825.50 : 383,401.86 = 150,503.85 : x
  2. Step 2: Convert to fraction form
    277,825.50/383,401.86 = 150,503.85/x
  3. Step 3: Cross multiply
    277,825.50x = 383,401.86 × 150,503.85
  4. Step 4: Simplify right side
    277,825.50x = 57,703,456,027.16
  5. Step 5: Solve for x
    x = 57,703,456,027.16/277,825.50
  6. Step 6: Final answer
    x = 207,696.76

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1.5x scale

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.