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Finding the Fourth Proportional to 298,933.08, 412,294.38 and 191,513.12

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Solution

The fourth proportional to 298,933.08, 412,294.38 and 191,513.12 is: 264,138.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,933.08 : 412,294.38 = 191,513.12 : x
  2. Step 2: Convert to fraction form
    298,933.08/412,294.38 = 191,513.12/x
  3. Step 3: Cross multiply
    298,933.08x = 412,294.38 × 191,513.12
  4. Step 4: Simplify right side
    298,933.08x = 78,959,783,072.27
  5. Step 5: Solve for x
    x = 78,959,783,072.27/298,933.08
  6. Step 6: Final answer
    x = 264,138.66

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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.