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Finding the Fourth Proportional to 298,409.94, 411,674.94 and 196,304.04

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Solution

The fourth proportional to 298,409.94, 411,674.94 and 196,304.04 is: 270,813.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,409.94 : 411,674.94 = 196,304.04 : x
  2. Step 2: Convert to fraction form
    298,409.94/411,674.94 = 196,304.04/x
  3. Step 3: Cross multiply
    298,409.94x = 411,674.94 × 196,304.04
  4. Step 4: Simplify right side
    298,409.94x = 80,813,453,888.76
  5. Step 5: Solve for x
    x = 80,813,453,888.76/298,409.94
  6. Step 6: Final answer
    x = 270,813.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.