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Finding the Fourth Proportional to 682,548.26, 942,257.60 and 424,508.38

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Solution

The fourth proportional to 682,548.26, 942,257.60 and 424,508.38 is: 586,033.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,548.26 : 942,257.60 = 424,508.38 : x
  2. Step 2: Convert to fraction form
    682,548.26/942,257.60 = 424,508.38/x
  3. Step 3: Cross multiply
    682,548.26x = 942,257.60 × 424,508.38
  4. Step 4: Simplify right side
    682,548.26x = 399,996,245,196.15
  5. Step 5: Solve for x
    x = 399,996,245,196.15/682,548.26
  6. Step 6: Final answer
    x = 586,033.65

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Why These Related Problems?

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