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Finding the Fourth Proportional to 496,624.40, 744,418.20 and 271,638.80

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Solution

The fourth proportional to 496,624.40, 744,418.20 and 271,638.80 is: 407,174.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,624.40 : 744,418.20 = 271,638.80 : x
  2. Step 2: Convert to fraction form
    496,624.40/744,418.20 = 271,638.80/x
  3. Step 3: Cross multiply
    496,624.40x = 744,418.20 × 271,638.80
  4. Step 4: Simplify right side
    496,624.40x = 202,212,866,546.16
  5. Step 5: Solve for x
    x = 202,212,866,546.16/496,624.40
  6. Step 6: Final answer
    x = 407,174.65

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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.