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Finding the Fourth Proportional to 262,338.40, 394,382.40 and 223,847.20

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Solution

The fourth proportional to 262,338.40, 394,382.40 and 223,847.20 is: 336,517.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,338.40 : 394,382.40 = 223,847.20 : x
  2. Step 2: Convert to fraction form
    262,338.40/394,382.40 = 223,847.20/x
  3. Step 3: Cross multiply
    262,338.40x = 394,382.40 × 223,847.20
  4. Step 4: Simplify right side
    262,338.40x = 88,281,395,969.28
  5. Step 5: Solve for x
    x = 88,281,395,969.28/262,338.40
  6. Step 6: Final answer
    x = 336,517.25

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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.