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Finding the Fourth Proportional to 299,085.58, 412,723.54 and 178,224.18

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Solution

The fourth proportional to 299,085.58, 412,723.54 and 178,224.18 is: 245,940.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,085.58 : 412,723.54 = 178,224.18 : x
  2. Step 2: Convert to fraction form
    299,085.58/412,723.54 = 178,224.18/x
  3. Step 3: Cross multiply
    299,085.58x = 412,723.54 × 178,224.18
  4. Step 4: Simplify right side
    299,085.58x = 73,557,314,483.20
  5. Step 5: Solve for x
    x = 73,557,314,483.20/299,085.58
  6. Step 6: Final answer
    x = 245,940.69

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