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Finding the Fourth Proportional to 366,633.14, 505,944.90 and 203,288.81

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Solution

The fourth proportional to 366,633.14, 505,944.90 and 203,288.81 is: 280,533.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,633.14 : 505,944.90 = 203,288.81 : x
  2. Step 2: Convert to fraction form
    366,633.14/505,944.90 = 203,288.81/x
  3. Step 3: Cross multiply
    366,633.14x = 505,944.90 × 203,288.81
  4. Step 4: Simplify right side
    366,633.14x = 102,852,934,116.85
  5. Step 5: Solve for x
    x = 102,852,934,116.85/366,633.14
  6. Step 6: Final answer
    x = 280,533.66

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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.