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Finding the Fourth Proportional to 311,334.53, 467,149.41 and 185,223.91

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Solution

The fourth proportional to 311,334.53, 467,149.41 and 185,223.91 is: 277,923.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,334.53 : 467,149.41 = 185,223.91 : x
  2. Step 2: Convert to fraction form
    311,334.53/467,149.41 = 185,223.91/x
  3. Step 3: Cross multiply
    311,334.53x = 467,149.41 × 185,223.91
  4. Step 4: Simplify right side
    311,334.53x = 86,527,239,106.52
  5. Step 5: Solve for x
    x = 86,527,239,106.52/311,334.53
  6. Step 6: Final answer
    x = 277,923.69

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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.