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Finding the Fourth Proportional to 311,898.44, 467,764.62 and 87,244.94

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Solution

The fourth proportional to 311,898.44, 467,764.62 and 87,244.94 is: 130,844.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,898.44 : 467,764.62 = 87,244.94 : x
  2. Step 2: Convert to fraction form
    311,898.44/467,764.62 = 87,244.94/x
  3. Step 3: Cross multiply
    311,898.44x = 467,764.62 × 87,244.94
  4. Step 4: Simplify right side
    311,898.44x = 40,810,096,206.02
  5. Step 5: Solve for x
    x = 40,810,096,206.02/311,898.44
  6. Step 6: Final answer
    x = 130,844.18

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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.