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Finding the Fourth Proportional to 414,680.41, 622,020.16 and 130,395.93

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Solution

The fourth proportional to 414,680.41, 622,020.16 and 130,395.93 is: 195,593.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,680.41 : 622,020.16 = 130,395.93 : x
  2. Step 2: Convert to fraction form
    414,680.41/622,020.16 = 130,395.93/x
  3. Step 3: Cross multiply
    414,680.41x = 622,020.16 × 130,395.93
  4. Step 4: Simplify right side
    414,680.41x = 81,108,895,072.37
  5. Step 5: Solve for x
    x = 81,108,895,072.37/414,680.41
  6. Step 6: Final answer
    x = 195,593.75

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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.