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Finding the Fourth Proportional to 213,782.40, 321,451.20 and 209,116.80

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Solution

The fourth proportional to 213,782.40, 321,451.20 and 209,116.80 is: 314,435.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,782.40 : 321,451.20 = 209,116.80 : x
  2. Step 2: Convert to fraction form
    213,782.40/321,451.20 = 209,116.80/x
  3. Step 3: Cross multiply
    213,782.40x = 321,451.20 × 209,116.80
  4. Step 4: Simplify right side
    213,782.40x = 67,220,846,300.16
  5. Step 5: Solve for x
    x = 67,220,846,300.16/213,782.40
  6. Step 6: Final answer
    x = 314,435.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.