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Finding the Fourth Proportional to 298,481.34, 447,614.49 and 98,764.86

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Solution

The fourth proportional to 298,481.34, 447,614.49 and 98,764.86 is: 148,111.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,481.34 : 447,614.49 = 98,764.86 : x
  2. Step 2: Convert to fraction form
    298,481.34/447,614.49 = 98,764.86/x
  3. Step 3: Cross multiply
    298,481.34x = 447,614.49 × 98,764.86
  4. Step 4: Simplify right side
    298,481.34x = 44,208,582,438.82
  5. Step 5: Solve for x
    x = 44,208,582,438.82/298,481.34
  6. Step 6: Final answer
    x = 148,111.71

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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.