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Finding the Fourth Proportional to 301,847.92, 416,552.60 and 188,736.24

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Solution

The fourth proportional to 301,847.92, 416,552.60 and 188,736.24 is: 260,457.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,847.92 : 416,552.60 = 188,736.24 : x
  2. Step 2: Convert to fraction form
    301,847.92/416,552.60 = 188,736.24/x
  3. Step 3: Cross multiply
    301,847.92x = 416,552.60 × 188,736.24
  4. Step 4: Simplify right side
    301,847.92x = 78,618,571,486.22
  5. Step 5: Solve for x
    x = 78,618,571,486.22/301,847.92
  6. Step 6: Final answer
    x = 260,457.56

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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.