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Finding the Fourth Proportional to 414,971.94, 622,235.13 and 130,609.26

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Solution

The fourth proportional to 414,971.94, 622,235.13 and 130,609.26 is: 195,843.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,971.94 : 622,235.13 = 130,609.26 : x
  2. Step 2: Convert to fraction form
    414,971.94/622,235.13 = 130,609.26/x
  3. Step 3: Cross multiply
    414,971.94x = 622,235.13 × 130,609.26
  4. Step 4: Simplify right side
    414,971.94x = 81,269,669,875.30
  5. Step 5: Solve for x
    x = 81,269,669,875.30/414,971.94
  6. Step 6: Final answer
    x = 195,843.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.