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Finding the Fourth Proportional to 279,982.14, 419,707.14 and 178,495.32

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Solution

The fourth proportional to 279,982.14, 419,707.14 and 178,495.32 is: 267,573.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,982.14 : 419,707.14 = 178,495.32 : x
  2. Step 2: Convert to fraction form
    279,982.14/419,707.14 = 178,495.32/x
  3. Step 3: Cross multiply
    279,982.14x = 419,707.14 × 178,495.32
  4. Step 4: Simplify right side
    279,982.14x = 74,915,760,260.58
  5. Step 5: Solve for x
    x = 74,915,760,260.58/279,982.14
  6. Step 6: Final answer
    x = 267,573.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.