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Finding the Fourth Proportional to 311,460, 467,268.03 and 89,844

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Solution

The fourth proportional to 311,460, 467,268.03 and 89,844 is: 134,788.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,460 : 467,268.03 = 89,844 : x
  2. Step 2: Convert to fraction form
    311,460/467,268.03 = 89,844/x
  3. Step 3: Cross multiply
    311,460x = 467,268.03 × 89,844
  4. Step 4: Simplify right side
    311,460x = 41,981,228,887.32
  5. Step 5: Solve for x
    x = 41,981,228,887.32/311,460
  6. Step 6: Final answer
    x = 134,788.51

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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.