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Finding the Fourth Proportional to 281,610.80, 422,416.20 and 262,948.40

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Solution

The fourth proportional to 281,610.80, 422,416.20 and 262,948.40 is: 394,422.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,610.80 : 422,416.20 = 262,948.40 : x
  2. Step 2: Convert to fraction form
    281,610.80/422,416.20 = 262,948.40/x
  3. Step 3: Cross multiply
    281,610.80x = 422,416.20 × 262,948.40
  4. Step 4: Simplify right side
    281,610.80x = 111,073,663,924.08
  5. Step 5: Solve for x
    x = 111,073,663,924.08/281,610.80
  6. Step 6: Final answer
    x = 394,422.60

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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.