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Finding the Fourth Proportional to 360,794.56, 541,243.68 and 111,496

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Solution

The fourth proportional to 360,794.56, 541,243.68 and 111,496 is: 167,260.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,794.56 : 541,243.68 = 111,496 : x
  2. Step 2: Convert to fraction form
    360,794.56/541,243.68 = 111,496/x
  3. Step 3: Cross multiply
    360,794.56x = 541,243.68 × 111,496
  4. Step 4: Simplify right side
    360,794.56x = 60,346,505,345.28
  5. Step 5: Solve for x
    x = 60,346,505,345.28/360,794.56
  6. Step 6: Final answer
    x = 167,260.02

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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.