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Finding the Fourth Proportional to 319,069.50, 440,321.40 and 206,089.08

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Solution

The fourth proportional to 319,069.50, 440,321.40 and 206,089.08 is: 284,406.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,069.50 : 440,321.40 = 206,089.08 : x
  2. Step 2: Convert to fraction form
    319,069.50/440,321.40 = 206,089.08/x
  3. Step 3: Cross multiply
    319,069.50x = 440,321.40 × 206,089.08
  4. Step 4: Simplify right side
    319,069.50x = 90,745,432,230.31
  5. Step 5: Solve for x
    x = 90,745,432,230.31/319,069.50
  6. Step 6: Final answer
    x = 284,406.48

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