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Finding the Fourth Proportional to 355,493.27, 490,582.45 and 194,348.33

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Solution

The fourth proportional to 355,493.27, 490,582.45 and 194,348.33 is: 268,201.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,493.27 : 490,582.45 = 194,348.33 : x
  2. Step 2: Convert to fraction form
    355,493.27/490,582.45 = 194,348.33/x
  3. Step 3: Cross multiply
    355,493.27x = 490,582.45 × 194,348.33
  4. Step 4: Simplify right side
    355,493.27x = 95,343,880,309.95
  5. Step 5: Solve for x
    x = 95,343,880,309.95/355,493.27
  6. Step 6: Final answer
    x = 268,201.64

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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.