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Finding the Fourth Proportional to 329,408.10, 494,194.50 and 152,039.16

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Solution

The fourth proportional to 329,408.10, 494,194.50 and 152,039.16 is: 228,096.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,408.10 : 494,194.50 = 152,039.16 : x
  2. Step 2: Convert to fraction form
    329,408.10/494,194.50 = 152,039.16/x
  3. Step 3: Cross multiply
    329,408.10x = 494,194.50 × 152,039.16
  4. Step 4: Simplify right side
    329,408.10x = 75,136,916,656.62
  5. Step 5: Solve for x
    x = 75,136,916,656.62/329,408.10
  6. Step 6: Final answer
    x = 228,096.75

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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.