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Finding the Fourth Proportional to 300,696.51, 414,961.16 and 179,837.78

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Solution

The fourth proportional to 300,696.51, 414,961.16 and 179,837.78 is: 248,176.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,696.51 : 414,961.16 = 179,837.78 : x
  2. Step 2: Convert to fraction form
    300,696.51/414,961.16 = 179,837.78/x
  3. Step 3: Cross multiply
    300,696.51x = 414,961.16 × 179,837.78
  4. Step 4: Simplify right side
    300,696.51x = 74,625,693,938.84
  5. Step 5: Solve for x
    x = 74,625,693,938.84/300,696.51
  6. Step 6: Final answer
    x = 248,176.12

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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.