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Finding the Fourth Proportional to 449,862.94, 674,981.82 and 197,324.78

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Solution

The fourth proportional to 449,862.94, 674,981.82 and 197,324.78 is: 296,069.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,862.94 : 674,981.82 = 197,324.78 : x
  2. Step 2: Convert to fraction form
    449,862.94/674,981.82 = 197,324.78/x
  3. Step 3: Cross multiply
    449,862.94x = 674,981.82 × 197,324.78
  4. Step 4: Simplify right side
    449,862.94x = 133,190,640,822.95
  5. Step 5: Solve for x
    x = 133,190,640,822.95/449,862.94
  6. Step 6: Final answer
    x = 296,069.38

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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.