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Finding the Fourth Proportional to 281,607.20, 422,410.80 and 262,944.80

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Solution

The fourth proportional to 281,607.20, 422,410.80 and 262,944.80 is: 394,417.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,607.20 : 422,410.80 = 262,944.80 : x
  2. Step 2: Convert to fraction form
    281,607.20/422,410.80 = 262,944.80/x
  3. Step 3: Cross multiply
    281,607.20x = 422,410.80 × 262,944.80
  4. Step 4: Simplify right side
    281,607.20x = 111,070,723,323.84
  5. Step 5: Solve for x
    x = 111,070,723,323.84/281,607.20
  6. Step 6: Final answer
    x = 394,417.20

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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.