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Finding the Fourth Proportional to 355,301.90, 490,323.04 and 194,163.74

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Solution

The fourth proportional to 355,301.90, 490,323.04 and 194,163.74 is: 267,949.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,301.90 : 490,323.04 = 194,163.74 : x
  2. Step 2: Convert to fraction form
    355,301.90/490,323.04 = 194,163.74/x
  3. Step 3: Cross multiply
    355,301.90x = 490,323.04 × 194,163.74
  4. Step 4: Simplify right side
    355,301.90x = 95,202,954,283.75
  5. Step 5: Solve for x
    x = 95,202,954,283.75/355,301.90
  6. Step 6: Final answer
    x = 267,949.47

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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.