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Finding the Fourth Proportional to 449,454.78, 674,184.74 and 149,934.47

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Solution

The fourth proportional to 449,454.78, 674,184.74 and 149,934.47 is: 224,902.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,454.78 : 674,184.74 = 149,934.47 : x
  2. Step 2: Convert to fraction form
    449,454.78/674,184.74 = 149,934.47/x
  3. Step 3: Cross multiply
    449,454.78x = 674,184.74 × 149,934.47
  4. Step 4: Simplify right side
    449,454.78x = 101,083,527,553.39
  5. Step 5: Solve for x
    x = 101,083,527,553.39/449,454.78
  6. Step 6: Final answer
    x = 224,902.55

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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.