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Finding the Fourth Proportional to 319,165.85, 440,369.38 and 205,852.25

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Solution

The fourth proportional to 319,165.85, 440,369.38 and 205,852.25 is: 284,024.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,165.85 : 440,369.38 = 205,852.25 : x
  2. Step 2: Convert to fraction form
    319,165.85/440,369.38 = 205,852.25/x
  3. Step 3: Cross multiply
    319,165.85x = 440,369.38 × 205,852.25
  4. Step 4: Simplify right side
    319,165.85x = 90,651,027,704.11
  5. Step 5: Solve for x
    x = 90,651,027,704.11/319,165.85
  6. Step 6: Final answer
    x = 284,024.83

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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.