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Finding the Fourth Proportional to 468,998.10, 703,324.83 and 161,162.79

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Solution

The fourth proportional to 468,998.10, 703,324.83 and 161,162.79 is: 241,684.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,998.10 : 703,324.83 = 161,162.79 : x
  2. Step 2: Convert to fraction form
    468,998.10/703,324.83 = 161,162.79/x
  3. Step 3: Cross multiply
    468,998.10x = 703,324.83 × 161,162.79
  4. Step 4: Simplify right side
    468,998.10x = 113,349,791,879.08
  5. Step 5: Solve for x
    x = 113,349,791,879.08/468,998.10
  6. Step 6: Final answer
    x = 241,684.97

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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.