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Finding the Fourth Proportional to 277,993.50, 383,628.87 and 150,665.82

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Solution

The fourth proportional to 277,993.50, 383,628.87 and 150,665.82 is: 207,917.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,993.50 : 383,628.87 = 150,665.82 : x
  2. Step 2: Convert to fraction form
    277,993.50/383,628.87 = 150,665.82/x
  3. Step 3: Cross multiply
    277,993.50x = 383,628.87 × 150,665.82
  4. Step 4: Simplify right side
    277,993.50x = 57,799,758,274.22
  5. Step 5: Solve for x
    x = 57,799,758,274.22/277,993.50
  6. Step 6: Final answer
    x = 207,917.66

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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.