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Finding the Fourth Proportional to 313,051.96, 469,162.76 and 163,418.11

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Solution

The fourth proportional to 313,051.96, 469,162.76 and 163,418.11 is: 244,910.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,051.96 : 469,162.76 = 163,418.11 : x
  2. Step 2: Convert to fraction form
    313,051.96/469,162.76 = 163,418.11/x
  3. Step 3: Cross multiply
    313,051.96x = 469,162.76 × 163,418.11
  4. Step 4: Simplify right side
    313,051.96x = 76,669,689,991.20
  5. Step 5: Solve for x
    x = 76,669,689,991.20/313,051.96
  6. Step 6: Final answer
    x = 244,910.43

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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.