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Finding the Fourth Proportional to 320,872.49, 442,665 and 193,477.31

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Solution

The fourth proportional to 320,872.49, 442,665 and 193,477.31 is: 266,914.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,872.49 : 442,665 = 193,477.31 : x
  2. Step 2: Convert to fraction form
    320,872.49/442,665 = 193,477.31/x
  3. Step 3: Cross multiply
    320,872.49x = 442,665 × 193,477.31
  4. Step 4: Simplify right side
    320,872.49x = 85,645,631,217.83
  5. Step 5: Solve for x
    x = 85,645,631,217.83/320,872.49
  6. Step 6: Final answer
    x = 266,914.85

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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.