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Finding the Fourth Proportional to 325,273.75, 488,358.37 and 165,457.84

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Solution

The fourth proportional to 325,273.75, 488,358.37 and 165,457.84 is: 248,414.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,273.75 : 488,358.37 = 165,457.84 : x
  2. Step 2: Convert to fraction form
    325,273.75/488,358.37 = 165,457.84/x
  3. Step 3: Cross multiply
    325,273.75x = 488,358.37 × 165,457.84
  4. Step 4: Simplify right side
    325,273.75x = 80,802,721,046.12
  5. Step 5: Solve for x
    x = 80,802,721,046.12/325,273.75
  6. Step 6: Final answer
    x = 248,414.52

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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.