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Finding the Fourth Proportional to 209,673.60, 313,771.68 and 171,778.56

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Solution

The fourth proportional to 209,673.60, 313,771.68 and 171,778.56 is: 257,062.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,673.60 : 313,771.68 = 171,778.56 : x
  2. Step 2: Convert to fraction form
    209,673.60/313,771.68 = 171,778.56/x
  3. Step 3: Cross multiply
    209,673.60x = 313,771.68 × 171,778.56
  4. Step 4: Simplify right side
    209,673.60x = 53,899,247,359.18
  5. Step 5: Solve for x
    x = 53,899,247,359.18/209,673.60
  6. Step 6: Final answer
    x = 257,062.63

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1.5x scale

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.