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Finding the Fourth Proportional to 414,745.70, 622,118.55 and 178,048.10

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Solution

The fourth proportional to 414,745.70, 622,118.55 and 178,048.10 is: 267,072.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,745.70 : 622,118.55 = 178,048.10 : x
  2. Step 2: Convert to fraction form
    414,745.70/622,118.55 = 178,048.10/x
  3. Step 3: Cross multiply
    414,745.70x = 622,118.55 × 178,048.10
  4. Step 4: Simplify right side
    414,745.70x = 110,767,025,802.26
  5. Step 5: Solve for x
    x = 110,767,025,802.26/414,745.70
  6. Step 6: Final answer
    x = 267,072.15

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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.