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Finding the Fourth Proportional to 300,521.75, 414,704.34 and 164,529.63

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Solution

The fourth proportional to 300,521.75, 414,704.34 and 164,529.63 is: 227,042.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,521.75 : 414,704.34 = 164,529.63 : x
  2. Step 2: Convert to fraction form
    300,521.75/414,704.34 = 164,529.63/x
  3. Step 3: Cross multiply
    300,521.75x = 414,704.34 × 164,529.63
  4. Step 4: Simplify right side
    300,521.75x = 68,231,151,619.59
  5. Step 5: Solve for x
    x = 68,231,151,619.59/300,521.75
  6. Step 6: Final answer
    x = 227,042.31

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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.