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Finding the Fourth Proportional to 219,212.40, 328,462.20 and 198,217.20

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Solution

The fourth proportional to 219,212.40, 328,462.20 and 198,217.20 is: 297,003.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,212.40 : 328,462.20 = 198,217.20 : x
  2. Step 2: Convert to fraction form
    219,212.40/328,462.20 = 198,217.20/x
  3. Step 3: Cross multiply
    219,212.40x = 328,462.20 × 198,217.20
  4. Step 4: Simplify right side
    219,212.40x = 65,106,857,589.84
  5. Step 5: Solve for x
    x = 65,106,857,589.84/219,212.40
  6. Step 6: Final answer
    x = 297,003.53

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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.