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Finding the Fourth Proportional to 422,012.08, 632,170.20 and 197,062.24

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Solution

The fourth proportional to 422,012.08, 632,170.20 and 197,062.24 is: 295,197.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,012.08 : 632,170.20 = 197,062.24 : x
  2. Step 2: Convert to fraction form
    422,012.08/632,170.20 = 197,062.24/x
  3. Step 3: Cross multiply
    422,012.08x = 632,170.20 × 197,062.24
  4. Step 4: Simplify right side
    422,012.08x = 124,576,875,673.25
  5. Step 5: Solve for x
    x = 124,576,875,673.25/422,012.08
  6. Step 6: Final answer
    x = 295,197.42

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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.