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Finding the Fourth Proportional to 300,490.46, 414,676.89 and 164,524.44

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Solution

The fourth proportional to 300,490.46, 414,676.89 and 164,524.44 is: 227,043.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,490.46 : 414,676.89 = 164,524.44 : x
  2. Step 2: Convert to fraction form
    300,490.46/414,676.89 = 164,524.44/x
  3. Step 3: Cross multiply
    300,490.46x = 414,676.89 × 164,524.44
  4. Step 4: Simplify right side
    300,490.46x = 68,224,483,108.19
  5. Step 5: Solve for x
    x = 68,224,483,108.19/300,490.46
  6. Step 6: Final answer
    x = 227,043.76

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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.