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Finding the Fourth Proportional to 465,403.38, 642,295.35 and 274,453.98

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Solution

The fourth proportional to 465,403.38, 642,295.35 and 274,453.98 is: 378,769.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,403.38 : 642,295.35 = 274,453.98 : x
  2. Step 2: Convert to fraction form
    465,403.38/642,295.35 = 274,453.98/x
  3. Step 3: Cross multiply
    465,403.38x = 642,295.35 × 274,453.98
  4. Step 4: Simplify right side
    465,403.38x = 176,280,515,142.99
  5. Step 5: Solve for x
    x = 176,280,515,142.99/465,403.38
  6. Step 6: Final answer
    x = 378,769.31

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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.