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Finding the Fourth Proportional to 297,806.49, 410,993.73 and 168,743.79

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Solution

The fourth proportional to 297,806.49, 410,993.73 and 168,743.79 is: 232,878.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,806.49 : 410,993.73 = 168,743.79 : x
  2. Step 2: Convert to fraction form
    297,806.49/410,993.73 = 168,743.79/x
  3. Step 3: Cross multiply
    297,806.49x = 410,993.73 × 168,743.79
  4. Step 4: Simplify right side
    297,806.49x = 69,352,639,666.44
  5. Step 5: Solve for x
    x = 69,352,639,666.44/297,806.49
  6. Step 6: Final answer
    x = 232,878.20

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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.