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Finding the Fourth Proportional to 489,447.83, 733,302.72 and 204,511.12

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Solution

The fourth proportional to 489,447.83, 733,302.72 and 204,511.12 is: 306,403.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,447.83 : 733,302.72 = 204,511.12 : x
  2. Step 2: Convert to fraction form
    489,447.83/733,302.72 = 204,511.12/x
  3. Step 3: Cross multiply
    489,447.83x = 733,302.72 × 204,511.12
  4. Step 4: Simplify right side
    489,447.83x = 149,968,558,732.99
  5. Step 5: Solve for x
    x = 149,968,558,732.99/489,447.83
  6. Step 6: Final answer
    x = 306,403.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.