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Finding the Fourth Proportional to 298,874, 412,446.12 and 164,740.88

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Solution

The fourth proportional to 298,874, 412,446.12 and 164,740.88 is: 227,342.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,874 : 412,446.12 = 164,740.88 : x
  2. Step 2: Convert to fraction form
    298,874/412,446.12 = 164,740.88/x
  3. Step 3: Cross multiply
    298,874x = 412,446.12 × 164,740.88
  4. Step 4: Simplify right side
    298,874x = 67,946,736,761.39
  5. Step 5: Solve for x
    x = 67,946,736,761.39/298,874
  6. Step 6: Final answer
    x = 227,342.41

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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.