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Finding the Fourth Proportional to 366,024.98, 505,109.52 and 204,879.98

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Solution

The fourth proportional to 366,024.98, 505,109.52 and 204,879.98 is: 282,731.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,024.98 : 505,109.52 = 204,879.98 : x
  2. Step 2: Convert to fraction form
    366,024.98/505,109.52 = 204,879.98/x
  3. Step 3: Cross multiply
    366,024.98x = 505,109.52 × 204,879.98
  4. Step 4: Simplify right side
    366,024.98x = 103,486,829,618.18
  5. Step 5: Solve for x
    x = 103,486,829,618.18/366,024.98
  6. Step 6: Final answer
    x = 282,731.61

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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.