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Finding the Fourth Proportional to 300,321.74, 414,438.46 and 164,352.96

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Solution

The fourth proportional to 300,321.74, 414,438.46 and 164,352.96 is: 226,804.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,321.74 : 414,438.46 = 164,352.96 : x
  2. Step 2: Convert to fraction form
    300,321.74/414,438.46 = 164,352.96/x
  3. Step 3: Cross multiply
    300,321.74x = 414,438.46 × 164,352.96
  4. Step 4: Simplify right side
    300,321.74x = 68,114,187,227.96
  5. Step 5: Solve for x
    x = 68,114,187,227.96/300,321.74
  6. Step 6: Final answer
    x = 226,804.05

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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.