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Finding the Fourth Proportional to 298,908.20, 447,473.86 and 298,514.54

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Solution

The fourth proportional to 298,908.20, 447,473.86 and 298,514.54 is: 446,884.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,908.20 : 447,473.86 = 298,514.54 : x
  2. Step 2: Convert to fraction form
    298,908.20/447,473.86 = 298,514.54/x
  3. Step 3: Cross multiply
    298,908.20x = 447,473.86 × 298,514.54
  4. Step 4: Simplify right side
    298,908.20x = 133,577,453,479.92
  5. Step 5: Solve for x
    x = 133,577,453,479.92/298,908.20
  6. Step 6: Final answer
    x = 446,884.54

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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.