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Finding the Fourth Proportional to 295,918.56, 408,093.12 and 188,376.48

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Solution

The fourth proportional to 295,918.56, 408,093.12 and 188,376.48 is: 259,784.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,918.56 : 408,093.12 = 188,376.48 : x
  2. Step 2: Convert to fraction form
    295,918.56/408,093.12 = 188,376.48/x
  3. Step 3: Cross multiply
    295,918.56x = 408,093.12 × 188,376.48
  4. Step 4: Simplify right side
    295,918.56x = 76,875,145,457.82
  5. Step 5: Solve for x
    x = 76,875,145,457.82/295,918.56
  6. Step 6: Final answer
    x = 259,784.81

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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.