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Finding the Fourth Proportional to 311,814.10, 467,611.80 and 162,004.60

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Solution

The fourth proportional to 311,814.10, 467,611.80 and 162,004.60 is: 242,950.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,814.10 : 467,611.80 = 162,004.60 : x
  2. Step 2: Convert to fraction form
    311,814.10/467,611.80 = 162,004.60/x
  3. Step 3: Cross multiply
    311,814.10x = 467,611.80 × 162,004.60
  4. Step 4: Simplify right side
    311,814.10x = 75,755,262,614.28
  5. Step 5: Solve for x
    x = 75,755,262,614.28/311,814.10
  6. Step 6: Final answer
    x = 242,950.09

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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.