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Finding the Fourth Proportional to 366,057.33, 505,169.66 and 204,911.42

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Solution

The fourth proportional to 366,057.33, 505,169.66 and 204,911.42 is: 282,783.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,057.33 : 505,169.66 = 204,911.42 : x
  2. Step 2: Convert to fraction form
    366,057.33/505,169.66 = 204,911.42/x
  3. Step 3: Cross multiply
    366,057.33x = 505,169.66 × 204,911.42
  4. Step 4: Simplify right side
    366,057.33x = 103,515,033,199.53
  5. Step 5: Solve for x
    x = 103,515,033,199.53/366,057.33
  6. Step 6: Final answer
    x = 282,783.67

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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.