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Finding the Fourth Proportional to 311,546.23, 467,323.09 and 86,892.98

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Solution

The fourth proportional to 311,546.23, 467,323.09 and 86,892.98 is: 130,340.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,546.23 : 467,323.09 = 86,892.98 : x
  2. Step 2: Convert to fraction form
    311,546.23/467,323.09 = 86,892.98/x
  3. Step 3: Cross multiply
    311,546.23x = 467,323.09 × 86,892.98
  4. Step 4: Simplify right side
    311,546.23x = 40,607,095,912.91
  5. Step 5: Solve for x
    x = 40,607,095,912.91/311,546.23
  6. Step 6: Final answer
    x = 130,340.51

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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.