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Finding the Fourth Proportional to 363,738.24, 501,984 and 220,504.32

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Solution

The fourth proportional to 363,738.24, 501,984 and 220,504.32 is: 304,311.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,738.24 : 501,984 = 220,504.32 : x
  2. Step 2: Convert to fraction form
    363,738.24/501,984 = 220,504.32/x
  3. Step 3: Cross multiply
    363,738.24x = 501,984 × 220,504.32
  4. Step 4: Simplify right side
    363,738.24x = 110,689,640,570.88
  5. Step 5: Solve for x
    x = 110,689,640,570.88/363,738.24
  6. Step 6: Final answer
    x = 304,311.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.