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Finding the Fourth Proportional to 297,334.48, 410,662.14 and 195,813.75

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Solution

The fourth proportional to 297,334.48, 410,662.14 and 195,813.75 is: 270,447.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,334.48 : 410,662.14 = 195,813.75 : x
  2. Step 2: Convert to fraction form
    297,334.48/410,662.14 = 195,813.75/x
  3. Step 3: Cross multiply
    297,334.48x = 410,662.14 × 195,813.75
  4. Step 4: Simplify right side
    297,334.48x = 80,413,293,616.43
  5. Step 5: Solve for x
    x = 80,413,293,616.43/297,334.48
  6. Step 6: Final answer
    x = 270,447.25

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1.5x scale

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.