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Finding the Fourth Proportional to 366,059.13, 505,161.81 and 204,914.49

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Solution

The fourth proportional to 366,059.13, 505,161.81 and 204,914.49 is: 282,782.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,059.13 : 505,161.81 = 204,914.49 : x
  2. Step 2: Convert to fraction form
    366,059.13/505,161.81 = 204,914.49/x
  3. Step 3: Cross multiply
    366,059.13x = 505,161.81 × 204,914.49
  4. Step 4: Simplify right side
    366,059.13x = 103,514,974,663.63
  5. Step 5: Solve for x
    x = 103,514,974,663.63/366,059.13
  6. Step 6: Final answer
    x = 282,782.11

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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.