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Finding the Fourth Proportional to 297,795.69, 446,712.98 and 218,072.25

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Solution

The fourth proportional to 297,795.69, 446,712.98 and 218,072.25 is: 327,122.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,795.69 : 446,712.98 = 218,072.25 : x
  2. Step 2: Convert to fraction form
    297,795.69/446,712.98 = 218,072.25/x
  3. Step 3: Cross multiply
    297,795.69x = 446,712.98 × 218,072.25
  4. Step 4: Simplify right side
    297,795.69x = 97,415,703,562.44
  5. Step 5: Solve for x
    x = 97,415,703,562.44/297,795.69
  6. Step 6: Final answer
    x = 327,122.61

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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.