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Finding the Fourth Proportional to 496,414.20, 744,658.74 and 154,814.52

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Solution

The fourth proportional to 496,414.20, 744,658.74 and 154,814.52 is: 232,233.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,414.20 : 744,658.74 = 154,814.52 : x
  2. Step 2: Convert to fraction form
    496,414.20/744,658.74 = 154,814.52/x
  3. Step 3: Cross multiply
    496,414.20x = 744,658.74 × 154,814.52
  4. Step 4: Simplify right side
    496,414.20x = 115,283,985,396.91
  5. Step 5: Solve for x
    x = 115,283,985,396.91/496,414.20
  6. Step 6: Final answer
    x = 232,233.46

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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.