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Finding the Fourth Proportional to 298,982.98, 412,362.93 and 191,563.48

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Solution

The fourth proportional to 298,982.98, 412,362.93 and 191,563.48 is: 264,207.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,982.98 : 412,362.93 = 191,563.48 : x
  2. Step 2: Convert to fraction form
    298,982.98/412,362.93 = 191,563.48/x
  3. Step 3: Cross multiply
    298,982.98x = 412,362.93 × 191,563.48
  4. Step 4: Simplify right side
    298,982.98x = 78,993,677,893.80
  5. Step 5: Solve for x
    x = 78,993,677,893.80/298,982.98
  6. Step 6: Final answer
    x = 264,207.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.