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Finding the Fourth Proportional to 323,382.25, 484,705.53 and 196,743.34

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Solution

The fourth proportional to 323,382.25, 484,705.53 and 196,743.34 is: 294,891.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,382.25 : 484,705.53 = 196,743.34 : x
  2. Step 2: Convert to fraction form
    323,382.25/484,705.53 = 196,743.34/x
  3. Step 3: Cross multiply
    323,382.25x = 484,705.53 × 196,743.34
  4. Step 4: Simplify right side
    323,382.25x = 95,362,584,888.67
  5. Step 5: Solve for x
    x = 95,362,584,888.67/323,382.25
  6. Step 6: Final answer
    x = 294,891.22

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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.