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Finding the Fourth Proportional to 300,635.90, 414,883.52 and 164,669.86

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Solution

The fourth proportional to 300,635.90, 414,883.52 and 164,669.86 is: 227,247.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,635.90 : 414,883.52 = 164,669.86 : x
  2. Step 2: Convert to fraction form
    300,635.90/414,883.52 = 164,669.86/x
  3. Step 3: Cross multiply
    300,635.90x = 414,883.52 × 164,669.86
  4. Step 4: Simplify right side
    300,635.90x = 68,318,811,467.47
  5. Step 5: Solve for x
    x = 68,318,811,467.47/300,635.90
  6. Step 6: Final answer
    x = 227,247.68

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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.