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Finding the Fourth Proportional to 496,658.40, 744,469.20 and 271,672.80

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Solution

The fourth proportional to 496,658.40, 744,469.20 and 271,672.80 is: 407,225.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,658.40 : 744,469.20 = 271,672.80 : x
  2. Step 2: Convert to fraction form
    496,658.40/744,469.20 = 271,672.80/x
  3. Step 3: Cross multiply
    496,658.40x = 744,469.20 × 271,672.80
  4. Step 4: Simplify right side
    496,658.40x = 202,252,032,077.76
  5. Step 5: Solve for x
    x = 202,252,032,077.76/496,658.40
  6. Step 6: Final answer
    x = 407,225.63

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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.