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Finding the Fourth Proportional to 329,721.60, 494,294.40 and 224,198.40

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Solution

The fourth proportional to 329,721.60, 494,294.40 and 224,198.40 is: 336,101.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,721.60 : 494,294.40 = 224,198.40 : x
  2. Step 2: Convert to fraction form
    329,721.60/494,294.40 = 224,198.40/x
  3. Step 3: Cross multiply
    329,721.60x = 494,294.40 × 224,198.40
  4. Step 4: Simplify right side
    329,721.60x = 110,820,013,608.96
  5. Step 5: Solve for x
    x = 110,820,013,608.96/329,721.60
  6. Step 6: Final answer
    x = 336,101.77

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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.