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Finding the Fourth Proportional to 414,893, 622,081.74 and 174,883.42

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Solution

The fourth proportional to 414,893, 622,081.74 and 174,883.42 is: 262,216.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,893 : 622,081.74 = 174,883.42 : x
  2. Step 2: Convert to fraction form
    414,893/622,081.74 = 174,883.42/x
  3. Step 3: Cross multiply
    414,893x = 622,081.74 × 174,883.42
  4. Step 4: Simplify right side
    414,893x = 108,791,782,210.75
  5. Step 5: Solve for x
    x = 108,791,782,210.75/414,893
  6. Step 6: Final answer
    x = 262,216.48

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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.