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Finding the Fourth Proportional to 414,771.89, 622,157.47 and 115,252.32

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Solution

The fourth proportional to 414,771.89, 622,157.47 and 115,252.32 is: 172,878.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,771.89 : 622,157.47 = 115,252.32 : x
  2. Step 2: Convert to fraction form
    414,771.89/622,157.47 = 115,252.32/x
  3. Step 3: Cross multiply
    414,771.89x = 622,157.47 × 115,252.32
  4. Step 4: Simplify right side
    414,771.89x = 71,705,091,822.83
  5. Step 5: Solve for x
    x = 71,705,091,822.83/414,771.89
  6. Step 6: Final answer
    x = 172,878.38

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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.