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Finding the Fourth Proportional to 321,198.90, 443,471.00 and 287,098.11

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Solution

The fourth proportional to 321,198.90, 443,471.00 and 287,098.11 is: 396,388.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,198.90 : 443,471.00 = 287,098.11 : x
  2. Step 2: Convert to fraction form
    321,198.90/443,471.00 = 287,098.11/x
  3. Step 3: Cross multiply
    321,198.90x = 443,471.00 × 287,098.11
  4. Step 4: Simplify right side
    321,198.90x = 127,319,684,504.32
  5. Step 5: Solve for x
    x = 127,319,684,504.32/321,198.90
  6. Step 6: Final answer
    x = 396,388.92

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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.