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Finding the Fourth Proportional to 301,423.28, 416,021.52 and 199,450.76

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Solution

The fourth proportional to 301,423.28, 416,021.52 and 199,450.76 is: 275,280.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,423.28 : 416,021.52 = 199,450.76 : x
  2. Step 2: Convert to fraction form
    301,423.28/416,021.52 = 199,450.76/x
  3. Step 3: Cross multiply
    301,423.28x = 416,021.52 × 199,450.76
  4. Step 4: Simplify right side
    301,423.28x = 82,975,808,340.36
  5. Step 5: Solve for x
    x = 82,975,808,340.36/301,423.28
  6. Step 6: Final answer
    x = 275,280.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.