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Finding the Fourth Proportional to 414,881.44, 622,563.60 and 174,980.32

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Solution

The fourth proportional to 414,881.44, 622,563.60 and 174,980.32 is: 262,572.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,881.44 : 622,563.60 = 174,980.32 : x
  2. Step 2: Convert to fraction form
    414,881.44/622,563.60 = 174,980.32/x
  3. Step 3: Cross multiply
    414,881.44x = 622,563.60 × 174,980.32
  4. Step 4: Simplify right side
    414,881.44x = 108,936,377,948.35
  5. Step 5: Solve for x
    x = 108,936,377,948.35/414,881.44
  6. Step 6: Final answer
    x = 262,572.31

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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.