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Finding the Fourth Proportional to 298,648.14, 412,134.42 and 164,512.14

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Solution

The fourth proportional to 298,648.14, 412,134.42 and 164,512.14 is: 227,026.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,648.14 : 412,134.42 = 164,512.14 : x
  2. Step 2: Convert to fraction form
    298,648.14/412,134.42 = 164,512.14/x
  3. Step 3: Cross multiply
    298,648.14x = 412,134.42 × 164,512.14
  4. Step 4: Simplify right side
    298,648.14x = 67,801,115,401.86
  5. Step 5: Solve for x
    x = 67,801,115,401.86/298,648.14
  6. Step 6: Final answer
    x = 227,026.75

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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.