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Finding the Fourth Proportional to 298,042.74, 447,093.27 and 108,554.58

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Solution

The fourth proportional to 298,042.74, 447,093.27 and 108,554.58 is: 162,842.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,042.74 : 447,093.27 = 108,554.58 : x
  2. Step 2: Convert to fraction form
    298,042.74/447,093.27 = 108,554.58/x
  3. Step 3: Cross multiply
    298,042.74x = 447,093.27 × 108,554.58
  4. Step 4: Simplify right side
    298,042.74x = 48,534,022,145.68
  5. Step 5: Solve for x
    x = 48,534,022,145.68/298,042.74
  6. Step 6: Final answer
    x = 162,842.49

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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.