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Finding the Fourth Proportional to 449,427.85, 674,144.30 and 149,907.60

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Solution

The fourth proportional to 449,427.85, 674,144.30 and 149,907.60 is: 224,862.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,427.85 : 674,144.30 = 149,907.60 : x
  2. Step 2: Convert to fraction form
    449,427.85/674,144.30 = 149,907.60/x
  3. Step 3: Cross multiply
    449,427.85x = 674,144.30 × 149,907.60
  4. Step 4: Simplify right side
    449,427.85x = 101,059,354,066.68
  5. Step 5: Solve for x
    x = 101,059,354,066.68/449,427.85
  6. Step 6: Final answer
    x = 224,862.24

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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.