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Finding the Fourth Proportional to 366,006.36, 505,083.82 and 204,861.36

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Solution

The fourth proportional to 366,006.36, 505,083.82 and 204,861.36 is: 282,705.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,006.36 : 505,083.82 = 204,861.36 : x
  2. Step 2: Convert to fraction form
    366,006.36/505,083.82 = 204,861.36/x
  3. Step 3: Cross multiply
    366,006.36x = 505,083.82 × 204,861.36
  4. Step 4: Simplify right side
    366,006.36x = 103,472,158,279.20
  5. Step 5: Solve for x
    x = 103,472,158,279.20/366,006.36
  6. Step 6: Final answer
    x = 282,705.90

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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.