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Finding the Fourth Proportional to 298,105.52, 411,249.91 and 177,178.08

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Solution

The fourth proportional to 298,105.52, 411,249.91 and 177,178.08 is: 244,425.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,105.52 : 411,249.91 = 177,178.08 : x
  2. Step 2: Convert to fraction form
    298,105.52/411,249.91 = 177,178.08/x
  3. Step 3: Cross multiply
    298,105.52x = 411,249.91 × 177,178.08
  4. Step 4: Simplify right side
    298,105.52x = 72,864,470,885.42
  5. Step 5: Solve for x
    x = 72,864,470,885.42/298,105.52
  6. Step 6: Final answer
    x = 244,425.10

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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.