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Finding the Fourth Proportional to 449,414.06, 674,123.65 and 149,893.76

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Solution

The fourth proportional to 449,414.06, 674,123.65 and 149,893.76 is: 224,841.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,414.06 : 674,123.65 = 149,893.76 : x
  2. Step 2: Convert to fraction form
    449,414.06/674,123.65 = 149,893.76/x
  3. Step 3: Cross multiply
    449,414.06x = 674,123.65 × 149,893.76
  4. Step 4: Simplify right side
    449,414.06x = 101,046,929,914.00
  5. Step 5: Solve for x
    x = 101,046,929,914.00/449,414.06
  6. Step 6: Final answer
    x = 224,841.50

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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.