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Finding the Fourth Proportional to 379,716.85, 569,469.84 and 113,414.23

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Solution

The fourth proportional to 379,716.85, 569,469.84 and 113,414.23 is: 170,089.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,716.85 : 569,469.84 = 113,414.23 : x
  2. Step 2: Convert to fraction form
    379,716.85/569,469.84 = 113,414.23/x
  3. Step 3: Cross multiply
    379,716.85x = 569,469.84 × 113,414.23
  4. Step 4: Simplify right side
    379,716.85x = 64,585,983,411.82
  5. Step 5: Solve for x
    x = 64,585,983,411.82/379,716.85
  6. Step 6: Final answer
    x = 170,089.85

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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.