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Finding the Fourth Proportional to 301,879.32, 416,592.36 and 165,922.44

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Solution

The fourth proportional to 301,879.32, 416,592.36 and 165,922.44 is: 228,972.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,879.32 : 416,592.36 = 165,922.44 : x
  2. Step 2: Convert to fraction form
    301,879.32/416,592.36 = 165,922.44/x
  3. Step 3: Cross multiply
    301,879.32x = 416,592.36 × 165,922.44
  4. Step 4: Simplify right side
    301,879.32x = 69,122,020,856.56
  5. Step 5: Solve for x
    x = 69,122,020,856.56/301,879.32
  6. Step 6: Final answer
    x = 228,972.36

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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.