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Finding the Fourth Proportional to 415,422.24, 622,883.82 and 162,401.37

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Solution

The fourth proportional to 415,422.24, 622,883.82 and 162,401.37 is: 243,504.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,422.24 : 622,883.82 = 162,401.37 : x
  2. Step 2: Convert to fraction form
    415,422.24/622,883.82 = 162,401.37/x
  3. Step 3: Cross multiply
    415,422.24x = 622,883.82 × 162,401.37
  4. Step 4: Simplify right side
    415,422.24x = 101,157,185,718.83
  5. Step 5: Solve for x
    x = 101,157,185,718.83/415,422.24
  6. Step 6: Final answer
    x = 243,504.50

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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.