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Finding the Fourth Proportional to 534,493.67, 737,613.14 and 305,046.38

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Solution

The fourth proportional to 534,493.67, 737,613.14 and 305,046.38 is: 420,970.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,493.67 : 737,613.14 = 305,046.38 : x
  2. Step 2: Convert to fraction form
    534,493.67/737,613.14 = 305,046.38/x
  3. Step 3: Cross multiply
    534,493.67x = 737,613.14 × 305,046.38
  4. Step 4: Simplify right side
    534,493.67x = 225,006,218,516.23
  5. Step 5: Solve for x
    x = 225,006,218,516.23/534,493.67
  6. Step 6: Final answer
    x = 420,970.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.