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Finding the Fourth Proportional to 449,861.69, 674,979.95 and 197,323.54

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Solution

The fourth proportional to 449,861.69, 674,979.95 and 197,323.54 is: 296,067.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,861.69 : 674,979.95 = 197,323.54 : x
  2. Step 2: Convert to fraction form
    449,861.69/674,979.95 = 197,323.54/x
  3. Step 3: Cross multiply
    449,861.69x = 674,979.95 × 197,323.54
  4. Step 4: Simplify right side
    449,861.69x = 133,189,428,801.51
  5. Step 5: Solve for x
    x = 133,189,428,801.51/449,861.69
  6. Step 6: Final answer
    x = 296,067.51

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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.