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Finding the Fourth Proportional to 213,584.40, 320,398.32 and 73,324.80

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Solution

The fourth proportional to 213,584.40, 320,398.32 and 73,324.80 is: 109,994.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,584.40 : 320,398.32 = 73,324.80 : x
  2. Step 2: Convert to fraction form
    213,584.40/320,398.32 = 73,324.80/x
  3. Step 3: Cross multiply
    213,584.40x = 320,398.32 × 73,324.80
  4. Step 4: Simplify right side
    213,584.40x = 23,493,142,734.34
  5. Step 5: Solve for x
    x = 23,493,142,734.34/213,584.40
  6. Step 6: Final answer
    x = 109,994.66

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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.