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Finding the Fourth Proportional to 311,223.90, 466,087.44 and 177,699.45

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Solution

The fourth proportional to 311,223.90, 466,087.44 and 177,699.45 is: 266,121.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,223.90 : 466,087.44 = 177,699.45 : x
  2. Step 2: Convert to fraction form
    311,223.90/466,087.44 = 177,699.45/x
  3. Step 3: Cross multiply
    311,223.90x = 466,087.44 × 177,699.45
  4. Step 4: Simplify right side
    311,223.90x = 82,823,481,739.91
  5. Step 5: Solve for x
    x = 82,823,481,739.91/311,223.90
  6. Step 6: Final answer
    x = 266,121.86

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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.