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Finding the Fourth Proportional to 274,268.40, 411,192.96 and 189,803.76

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Solution

The fourth proportional to 274,268.40, 411,192.96 and 189,803.76 is: 284,560.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,268.40 : 411,192.96 = 189,803.76 : x
  2. Step 2: Convert to fraction form
    274,268.40/411,192.96 = 189,803.76/x
  3. Step 3: Cross multiply
    274,268.40x = 411,192.96 × 189,803.76
  4. Step 4: Simplify right side
    274,268.40x = 78,045,969,893.53
  5. Step 5: Solve for x
    x = 78,045,969,893.53/274,268.40
  6. Step 6: Final answer
    x = 284,560.56

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Why These Related Problems?

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