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Finding the Fourth Proportional to 298,873, 412,442.07 and 162,906.94

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Solution

The fourth proportional to 298,873, 412,442.07 and 162,906.94 is: 224,810.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,873 : 412,442.07 = 162,906.94 : x
  2. Step 2: Convert to fraction form
    298,873/412,442.07 = 162,906.94/x
  3. Step 3: Cross multiply
    298,873x = 412,442.07 × 162,906.94
  4. Step 4: Simplify right side
    298,873x = 67,189,675,550.97
  5. Step 5: Solve for x
    x = 67,189,675,550.97/298,873
  6. Step 6: Final answer
    x = 224,810.12

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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.