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Finding the Fourth Proportional to 368,861.82, 509,037.99 and 205,529.37

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Solution

The fourth proportional to 368,861.82, 509,037.99 and 205,529.37 is: 283,635.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,861.82 : 509,037.99 = 205,529.37 : x
  2. Step 2: Convert to fraction form
    368,861.82/509,037.99 = 205,529.37/x
  3. Step 3: Cross multiply
    368,861.82x = 509,037.99 × 205,529.37
  4. Step 4: Simplify right side
    368,861.82x = 104,622,260,740.30
  5. Step 5: Solve for x
    x = 104,622,260,740.30/368,861.82
  6. Step 6: Final answer
    x = 283,635.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.