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Finding the Fourth Proportional to 298,204.74, 447,321.15 and 98,542.98

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Solution

The fourth proportional to 298,204.74, 447,321.15 and 98,542.98 is: 147,819.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,204.74 : 447,321.15 = 98,542.98 : x
  2. Step 2: Convert to fraction form
    298,204.74/447,321.15 = 98,542.98/x
  3. Step 3: Cross multiply
    298,204.74x = 447,321.15 × 98,542.98
  4. Step 4: Simplify right side
    298,204.74x = 44,080,359,138.03
  5. Step 5: Solve for x
    x = 44,080,359,138.03/298,204.74
  6. Step 6: Final answer
    x = 147,819.11

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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.