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Finding the Fourth Proportional to 298,812.32, 412,361 and 164,676.32

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Solution

The fourth proportional to 298,812.32, 412,361 and 164,676.32 is: 227,253.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,812.32 : 412,361 = 164,676.32 : x
  2. Step 2: Convert to fraction form
    298,812.32/412,361 = 164,676.32/x
  3. Step 3: Cross multiply
    298,812.32x = 412,361 × 164,676.32
  4. Step 4: Simplify right side
    298,812.32x = 67,906,091,991.52
  5. Step 5: Solve for x
    x = 67,906,091,991.52/298,812.32
  6. Step 6: Final answer
    x = 227,253.32

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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.