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Finding the Fourth Proportional to 313,984.67, 433,310.24 and 179,874.59

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Solution

The fourth proportional to 313,984.67, 433,310.24 and 179,874.59 is: 248,233.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,984.67 : 433,310.24 = 179,874.59 : x
  2. Step 2: Convert to fraction form
    313,984.67/433,310.24 = 179,874.59/x
  3. Step 3: Cross multiply
    313,984.67x = 433,310.24 × 179,874.59
  4. Step 4: Simplify right side
    313,984.67x = 77,941,500,045.94
  5. Step 5: Solve for x
    x = 77,941,500,045.94/313,984.67
  6. Step 6: Final answer
    x = 248,233.46

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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.