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Finding the Fourth Proportional to 311,868.94, 467,853.90 and 122,226.50

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Solution

The fourth proportional to 311,868.94, 467,853.90 and 122,226.50 is: 183,359.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,868.94 : 467,853.90 = 122,226.50 : x
  2. Step 2: Convert to fraction form
    311,868.94/467,853.90 = 122,226.50/x
  3. Step 3: Cross multiply
    311,868.94x = 467,853.90 × 122,226.50
  4. Step 4: Simplify right side
    311,868.94x = 57,184,144,708.35
  5. Step 5: Solve for x
    x = 57,184,144,708.35/311,868.94
  6. Step 6: Final answer
    x = 183,359.54

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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.