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Finding the Fourth Proportional to 463,231.57, 694,903.41 and 163,650.84

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Solution

The fourth proportional to 463,231.57, 694,903.41 and 163,650.84 is: 245,496.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,231.57 : 694,903.41 = 163,650.84 : x
  2. Step 2: Convert to fraction form
    463,231.57/694,903.41 = 163,650.84/x
  3. Step 3: Cross multiply
    463,231.57x = 694,903.41 × 163,650.84
  4. Step 4: Simplify right side
    463,231.57x = 113,721,527,379.06
  5. Step 5: Solve for x
    x = 113,721,527,379.06/463,231.57
  6. Step 6: Final answer
    x = 245,496.07

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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.