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Finding the Fourth Proportional to 332,219.43, 498,408.42 and 107,580.11

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Solution

The fourth proportional to 332,219.43, 498,408.42 and 107,580.11 is: 161,395.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,219.43 : 498,408.42 = 107,580.11 : x
  2. Step 2: Convert to fraction form
    332,219.43/498,408.42 = 107,580.11/x
  3. Step 3: Cross multiply
    332,219.43x = 498,408.42 × 107,580.11
  4. Step 4: Simplify right side
    332,219.43x = 53,618,830,156.48
  5. Step 5: Solve for x
    x = 53,618,830,156.48/332,219.43
  6. Step 6: Final answer
    x = 161,395.83

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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.