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Finding the Fourth Proportional to 355,798.69, 491,023.97 and 204,944.29

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Solution

The fourth proportional to 355,798.69, 491,023.97 and 204,944.29 is: 282,835.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,798.69 : 491,023.97 = 204,944.29 : x
  2. Step 2: Convert to fraction form
    355,798.69/491,023.97 = 204,944.29/x
  3. Step 3: Cross multiply
    355,798.69x = 491,023.97 × 204,944.29
  4. Step 4: Simplify right side
    355,798.69x = 100,632,558,904.63
  5. Step 5: Solve for x
    x = 100,632,558,904.63/355,798.69
  6. Step 6: Final answer
    x = 282,835.66

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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.