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Finding the Fourth Proportional to 355,431.44, 490,495.41 and 194,287.13

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Solution

The fourth proportional to 355,431.44, 490,495.41 and 194,287.13 is: 268,116.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,431.44 : 490,495.41 = 194,287.13 : x
  2. Step 2: Convert to fraction form
    355,431.44/490,495.41 = 194,287.13/x
  3. Step 3: Cross multiply
    355,431.44x = 490,495.41 × 194,287.13
  4. Step 4: Simplify right side
    355,431.44x = 95,296,945,487.07
  5. Step 5: Solve for x
    x = 95,296,945,487.07/355,431.44
  6. Step 6: Final answer
    x = 268,116.25

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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.