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Finding the Fourth Proportional to 262,842.24, 394,284.42 and 104,984.04

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Solution

The fourth proportional to 262,842.24, 394,284.42 and 104,984.04 is: 157,484.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,842.24 : 394,284.42 = 104,984.04 : x
  2. Step 2: Convert to fraction form
    262,842.24/394,284.42 = 104,984.04/x
  3. Step 3: Cross multiply
    262,842.24x = 394,284.42 × 104,984.04
  4. Step 4: Simplify right side
    262,842.24x = 41,393,571,320.66
  5. Step 5: Solve for x
    x = 41,393,571,320.66/262,842.24
  6. Step 6: Final answer
    x = 157,484.47

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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.