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Finding the Fourth Proportional to 355,800.69, 491,026.73 and 204,946.29

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Solution

The fourth proportional to 355,800.69, 491,026.73 and 204,946.29 is: 282,838.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,800.69 : 491,026.73 = 204,946.29 : x
  2. Step 2: Convert to fraction form
    355,800.69/491,026.73 = 204,946.29/x
  3. Step 3: Cross multiply
    355,800.69x = 491,026.73 × 204,946.29
  4. Step 4: Simplify right side
    355,800.69x = 100,634,106,604.33
  5. Step 5: Solve for x
    x = 100,634,106,604.33/355,800.69
  6. Step 6: Final answer
    x = 282,838.42

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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.