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Finding the Fourth Proportional to 311,866.23, 467,849.83 and 122,223.77

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Solution

The fourth proportional to 311,866.23, 467,849.83 and 122,223.77 is: 183,355.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,866.23 : 467,849.83 = 122,223.77 : x
  2. Step 2: Convert to fraction form
    311,866.23/467,849.83 = 122,223.77/x
  3. Step 3: Cross multiply
    311,866.23x = 467,849.83 × 122,223.77
  4. Step 4: Simplify right side
    311,866.23x = 57,182,370,016.46
  5. Step 5: Solve for x
    x = 57,182,370,016.46/311,866.23
  6. Step 6: Final answer
    x = 183,355.44

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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.