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Finding the Fourth Proportional to 321,171.36, 443,216.16 and 177,940.32

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Solution

The fourth proportional to 321,171.36, 443,216.16 and 177,940.32 is: 245,557.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,171.36 : 443,216.16 = 177,940.32 : x
  2. Step 2: Convert to fraction form
    321,171.36/443,216.16 = 177,940.32/x
  3. Step 3: Cross multiply
    321,171.36x = 443,216.16 × 177,940.32
  4. Step 4: Simplify right side
    321,171.36x = 78,866,025,339.57
  5. Step 5: Solve for x
    x = 78,866,025,339.57/321,171.36
  6. Step 6: Final answer
    x = 245,557.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.