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Finding the Fourth Proportional to 311,927.90, 467,891.78 and 122,477.54

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Solution

The fourth proportional to 311,927.90, 467,891.78 and 122,477.54 is: 183,716.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,927.90 : 467,891.78 = 122,477.54 : x
  2. Step 2: Convert to fraction form
    311,927.90/467,891.78 = 122,477.54/x
  3. Step 3: Cross multiply
    311,927.90x = 467,891.78 × 122,477.54
  4. Step 4: Simplify right side
    311,927.90x = 57,306,231,248.77
  5. Step 5: Solve for x
    x = 57,306,231,248.77/311,927.90
  6. Step 6: Final answer
    x = 183,716.28

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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.