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Finding the Fourth Proportional to 274,449.70, 411,480.15 and 105,904.90

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Solution

The fourth proportional to 274,449.70, 411,480.15 and 105,904.90 is: 158,782.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,449.70 : 411,480.15 = 105,904.90 : x
  2. Step 2: Convert to fraction form
    274,449.70/411,480.15 = 105,904.90/x
  3. Step 3: Cross multiply
    274,449.70x = 411,480.15 × 105,904.90
  4. Step 4: Simplify right side
    274,449.70x = 43,577,764,137.74
  5. Step 5: Solve for x
    x = 43,577,764,137.74/274,449.70
  6. Step 6: Final answer
    x = 158,782.33

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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.