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Finding the Fourth Proportional to 298,462.44, 411,747.39 and 196,356.54

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Solution

The fourth proportional to 298,462.44, 411,747.39 and 196,356.54 is: 270,885.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,462.44 : 411,747.39 = 196,356.54 : x
  2. Step 2: Convert to fraction form
    298,462.44/411,747.39 = 196,356.54/x
  3. Step 3: Cross multiply
    298,462.44x = 411,747.39 × 196,356.54
  4. Step 4: Simplify right side
    298,462.44x = 80,849,292,854.43
  5. Step 5: Solve for x
    x = 80,849,292,854.43/298,462.44
  6. Step 6: Final answer
    x = 270,885.99

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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.