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Finding the Fourth Proportional to 715,576.50, 1,073,200.71 and 427,469.32

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Solution

The fourth proportional to 715,576.50, 1,073,200.71 and 427,469.32 is: 641,105.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,576.50 : 1,073,200.71 = 427,469.32 : x
  2. Step 2: Convert to fraction form
    715,576.50/1,073,200.71 = 427,469.32/x
  3. Step 3: Cross multiply
    715,576.50x = 1,073,200.71 × 427,469.32
  4. Step 4: Simplify right side
    715,576.50x = 458,760,377,727.22
  5. Step 5: Solve for x
    x = 458,760,377,727.22/715,576.50
  6. Step 6: Final answer
    x = 641,105.99

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Why These Related Problems?

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