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Finding the Fourth Proportional to 311,153.40, 465,552.36 and 184,861.44

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Solution

The fourth proportional to 311,153.40, 465,552.36 and 184,861.44 is: 276,592.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,153.40 : 465,552.36 = 184,861.44 : x
  2. Step 2: Convert to fraction form
    311,153.40/465,552.36 = 184,861.44/x
  3. Step 3: Cross multiply
    311,153.40x = 465,552.36 × 184,861.44
  4. Step 4: Simplify right side
    311,153.40x = 86,062,679,665.00
  5. Step 5: Solve for x
    x = 86,062,679,665.00/311,153.40
  6. Step 6: Final answer
    x = 276,592.44

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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.