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Finding the Fourth Proportional to 366,006.73, 505,089.15 and 204,861.74

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Solution

The fourth proportional to 366,006.73, 505,089.15 and 204,861.74 is: 282,709.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,006.73 : 505,089.15 = 204,861.74 : x
  2. Step 2: Convert to fraction form
    366,006.73/505,089.15 = 204,861.74/x
  3. Step 3: Cross multiply
    366,006.73x = 505,089.15 × 204,861.74
  4. Step 4: Simplify right side
    366,006.73x = 103,473,438,830.44
  5. Step 5: Solve for x
    x = 103,473,438,830.44/366,006.73
  6. Step 6: Final answer
    x = 282,709.12

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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.