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Finding the Fourth Proportional to 300,441.51, 414,609.25 and 164,475.03

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Solution

The fourth proportional to 300,441.51, 414,609.25 and 164,475.03 is: 226,975.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,441.51 : 414,609.25 = 164,475.03 : x
  2. Step 2: Convert to fraction form
    300,441.51/414,609.25 = 164,475.03/x
  3. Step 3: Cross multiply
    300,441.51x = 414,609.25 × 164,475.03
  4. Step 4: Simplify right side
    300,441.51x = 68,192,868,009.65
  5. Step 5: Solve for x
    x = 68,192,868,009.65/300,441.51
  6. Step 6: Final answer
    x = 226,975.52

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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.