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Finding the Fourth Proportional to 445,085, 667,732.50 and 145,564.40

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Solution

The fourth proportional to 445,085, 667,732.50 and 145,564.40 is: 218,380.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,085 : 667,732.50 = 145,564.40 : x
  2. Step 2: Convert to fraction form
    445,085/667,732.50 = 145,564.40/x
  3. Step 3: Cross multiply
    445,085x = 667,732.50 × 145,564.40
  4. Step 4: Simplify right side
    445,085x = 97,198,080,723
  5. Step 5: Solve for x
    x = 97,198,080,723/445,085
  6. Step 6: Final answer
    x = 218,380.94

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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.