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Finding the Fourth Proportional to 300,245.28, 414,334.94 and 164,277.65

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Solution

The fourth proportional to 300,245.28, 414,334.94 and 164,277.65 is: 226,701.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,245.28 : 414,334.94 = 164,277.65 : x
  2. Step 2: Convert to fraction form
    300,245.28/414,334.94 = 164,277.65/x
  3. Step 3: Cross multiply
    300,245.28x = 414,334.94 × 164,277.65
  4. Step 4: Simplify right side
    300,245.28x = 68,065,967,363.03
  5. Step 5: Solve for x
    x = 68,065,967,363.03/300,245.28
  6. Step 6: Final answer
    x = 226,701.21

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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.