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Finding the Fourth Proportional to 298,738, 412,284.36 and 164,627.92

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Solution

The fourth proportional to 298,738, 412,284.36 and 164,627.92 is: 227,200.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,738 : 412,284.36 = 164,627.92 : x
  2. Step 2: Convert to fraction form
    298,738/412,284.36 = 164,627.92/x
  3. Step 3: Cross multiply
    298,738x = 412,284.36 × 164,627.92
  4. Step 4: Simplify right side
    298,738x = 67,873,516,635.33
  5. Step 5: Solve for x
    x = 67,873,516,635.33/298,738
  6. Step 6: Final answer
    x = 227,200.81

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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.