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Finding the Fourth Proportional to 295,438.27, 443,120.50 and 82,222.18

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Solution

The fourth proportional to 295,438.27, 443,120.50 and 82,222.18 is: 123,323.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,438.27 : 443,120.50 = 82,222.18 : x
  2. Step 2: Convert to fraction form
    295,438.27/443,120.50 = 82,222.18/x
  3. Step 3: Cross multiply
    295,438.27x = 443,120.50 × 82,222.18
  4. Step 4: Simplify right side
    295,438.27x = 36,434,333,512.69
  5. Step 5: Solve for x
    x = 36,434,333,512.69/295,438.27
  6. Step 6: Final answer
    x = 123,323.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.