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Finding the Fourth Proportional to 311,884.62, 467,625.78 and 122,364.14

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Solution

The fourth proportional to 311,884.62, 467,625.78 and 122,364.14 is: 183,467.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,884.62 : 467,625.78 = 122,364.14 : x
  2. Step 2: Convert to fraction form
    311,884.62/467,625.78 = 122,364.14/x
  3. Step 3: Cross multiply
    311,884.62x = 467,625.78 × 122,364.14
  4. Step 4: Simplify right side
    311,884.62x = 57,220,626,411.53
  5. Step 5: Solve for x
    x = 57,220,626,411.53/311,884.62
  6. Step 6: Final answer
    x = 183,467.29

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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.