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Finding the Fourth Proportional to 311,917.23, 468,706.91 and 169,867.94

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Solution

The fourth proportional to 311,917.23, 468,706.91 and 169,867.94 is: 255,254.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,917.23 : 468,706.91 = 169,867.94 : x
  2. Step 2: Convert to fraction form
    311,917.23/468,706.91 = 169,867.94/x
  3. Step 3: Cross multiply
    311,917.23x = 468,706.91 × 169,867.94
  4. Step 4: Simplify right side
    311,917.23x = 79,618,274,072.59
  5. Step 5: Solve for x
    x = 79,618,274,072.59/311,917.23
  6. Step 6: Final answer
    x = 255,254.49

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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.