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Finding the Fourth Proportional to 355,696.54, 490,876.95 and 204,842.14

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Solution

The fourth proportional to 355,696.54, 490,876.95 and 204,842.14 is: 282,691.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,696.54 : 490,876.95 = 204,842.14 : x
  2. Step 2: Convert to fraction form
    355,696.54/490,876.95 = 204,842.14/x
  3. Step 3: Cross multiply
    355,696.54x = 490,876.95 × 204,842.14
  4. Step 4: Simplify right side
    355,696.54x = 100,552,284,914.67
  5. Step 5: Solve for x
    x = 100,552,284,914.67/355,696.54
  6. Step 6: Final answer
    x = 282,691.21

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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.