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Finding the Fourth Proportional to 320,894.92, 481,584.49 and 219,450.58

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Solution

The fourth proportional to 320,894.92, 481,584.49 and 219,450.58 is: 329,341.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,894.92 : 481,584.49 = 219,450.58 : x
  2. Step 2: Convert to fraction form
    320,894.92/481,584.49 = 219,450.58/x
  3. Step 3: Cross multiply
    320,894.92x = 481,584.49 × 219,450.58
  4. Step 4: Simplify right side
    320,894.92x = 105,683,995,649.50
  5. Step 5: Solve for x
    x = 105,683,995,649.50/320,894.92
  6. Step 6: Final answer
    x = 329,341.44

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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.