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Finding the Fourth Proportional to 298,511.10, 412,218.96 and 189,650.60

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Solution

The fourth proportional to 298,511.10, 412,218.96 and 189,650.60 is: 261,891.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,511.10 : 412,218.96 = 189,650.60 : x
  2. Step 2: Convert to fraction form
    298,511.10/412,218.96 = 189,650.60/x
  3. Step 3: Cross multiply
    298,511.10x = 412,218.96 × 189,650.60
  4. Step 4: Simplify right side
    298,511.10x = 78,177,573,095.38
  5. Step 5: Solve for x
    x = 78,177,573,095.38/298,511.10
  6. Step 6: Final answer
    x = 261,891.68

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1.5x scale

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.