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Finding the Fourth Proportional to 300,443.26, 414,611.70 and 166,307.26

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Solution

The fourth proportional to 300,443.26, 414,611.70 and 166,307.26 is: 229,504.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,443.26 : 414,611.70 = 166,307.26 : x
  2. Step 2: Convert to fraction form
    300,443.26/414,611.70 = 166,307.26/x
  3. Step 3: Cross multiply
    300,443.26x = 414,611.70 × 166,307.26
  4. Step 4: Simplify right side
    300,443.26x = 68,952,935,790.94
  5. Step 5: Solve for x
    x = 68,952,935,790.94/300,443.26
  6. Step 6: Final answer
    x = 229,504.02

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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.