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Finding the Fourth Proportional to 468,558.81, 646,608.42 and 253,694.43

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Solution

The fourth proportional to 468,558.81, 646,608.42 and 253,694.43 is: 350,096.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,558.81 : 646,608.42 = 253,694.43 : x
  2. Step 2: Convert to fraction form
    468,558.81/646,608.42 = 253,694.43/x
  3. Step 3: Cross multiply
    468,558.81x = 646,608.42 × 253,694.43
  4. Step 4: Simplify right side
    468,558.81x = 164,040,954,545.10
  5. Step 5: Solve for x
    x = 164,040,954,545.10/468,558.81
  6. Step 6: Final answer
    x = 350,096.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.