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Finding the Fourth Proportional to 329,997.26, 494,916.54 and 152,333.60

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Solution

The fourth proportional to 329,997.26, 494,916.54 and 152,333.60 is: 228,463.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,997.26 : 494,916.54 = 152,333.60 : x
  2. Step 2: Convert to fraction form
    329,997.26/494,916.54 = 152,333.60/x
  3. Step 3: Cross multiply
    329,997.26x = 494,916.54 × 152,333.60
  4. Step 4: Simplify right side
    329,997.26x = 75,392,418,237.74
  5. Step 5: Solve for x
    x = 75,392,418,237.74/329,997.26
  6. Step 6: Final answer
    x = 228,463.77

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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.