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Finding the Fourth Proportional to 319,285.84, 440,583.30 and 196,759.16

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Solution

The fourth proportional to 319,285.84, 440,583.30 and 196,759.16 is: 271,508.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,285.84 : 440,583.30 = 196,759.16 : x
  2. Step 2: Convert to fraction form
    319,285.84/440,583.30 = 196,759.16/x
  3. Step 3: Cross multiply
    319,285.84x = 440,583.30 × 196,759.16
  4. Step 4: Simplify right side
    319,285.84x = 86,688,800,018.03
  5. Step 5: Solve for x
    x = 86,688,800,018.03/319,285.84
  6. Step 6: Final answer
    x = 271,508.44

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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.