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Finding the Fourth Proportional to 298,151.94, 447,435.27 and 192,709.38

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Solution

The fourth proportional to 298,151.94, 447,435.27 and 192,709.38 is: 289,198.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,151.94 : 447,435.27 = 192,709.38 : x
  2. Step 2: Convert to fraction form
    298,151.94/447,435.27 = 192,709.38/x
  3. Step 3: Cross multiply
    298,151.94x = 447,435.27 × 192,709.38
  4. Step 4: Simplify right side
    298,151.94x = 86,224,970,271.11
  5. Step 5: Solve for x
    x = 86,224,970,271.11/298,151.94
  6. Step 6: Final answer
    x = 289,198.09

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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.