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Finding the Fourth Proportional to 311,623.91, 467,269.56 and 161,713.26

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Solution

The fourth proportional to 311,623.91, 467,269.56 and 161,713.26 is: 242,483.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,623.91 : 467,269.56 = 161,713.26 : x
  2. Step 2: Convert to fraction form
    311,623.91/467,269.56 = 161,713.26/x
  3. Step 3: Cross multiply
    311,623.91x = 467,269.56 × 161,713.26
  4. Step 4: Simplify right side
    311,623.91x = 75,563,683,846.37
  5. Step 5: Solve for x
    x = 75,563,683,846.37/311,623.91
  6. Step 6: Final answer
    x = 242,483.59

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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.