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Finding the Fourth Proportional to 300,649.35, 414,880.06 and 164,676.27

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Solution

The fourth proportional to 300,649.35, 414,880.06 and 164,676.27 is: 227,244.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,649.35 : 414,880.06 = 164,676.27 : x
  2. Step 2: Convert to fraction form
    300,649.35/414,880.06 = 164,676.27/x
  3. Step 3: Cross multiply
    300,649.35x = 414,880.06 × 164,676.27
  4. Step 4: Simplify right side
    300,649.35x = 68,320,900,778.18
  5. Step 5: Solve for x
    x = 68,320,900,778.18/300,649.35
  6. Step 6: Final answer
    x = 227,244.47

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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.