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Finding the Fourth Proportional to 311,865.69, 467,849.03 and 122,223.25

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Solution

The fourth proportional to 311,865.69, 467,849.03 and 122,223.25 is: 183,354.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,865.69 : 467,849.03 = 122,223.25 : x
  2. Step 2: Convert to fraction form
    311,865.69/467,849.03 = 122,223.25/x
  3. Step 3: Cross multiply
    311,865.69x = 467,849.03 × 122,223.25
  4. Step 4: Simplify right side
    311,865.69x = 57,182,028,344.83
  5. Step 5: Solve for x
    x = 57,182,028,344.83/311,865.69
  6. Step 6: Final answer
    x = 183,354.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.