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Finding the Fourth Proportional to 415,234.20, 622,851.30 and 340,438.80

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Solution

The fourth proportional to 415,234.20, 622,851.30 and 340,438.80 is: 510,658.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,234.20 : 622,851.30 = 340,438.80 : x
  2. Step 2: Convert to fraction form
    415,234.20/622,851.30 = 340,438.80/x
  3. Step 3: Cross multiply
    415,234.20x = 622,851.30 × 340,438.80
  4. Step 4: Simplify right side
    415,234.20x = 212,042,749,150.44
  5. Step 5: Solve for x
    x = 212,042,749,150.44/415,234.20
  6. Step 6: Final answer
    x = 510,658.20

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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.