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Finding the Fourth Proportional to 465,096.57, 641,756.01 and 274,083.99

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Solution

The fourth proportional to 465,096.57, 641,756.01 and 274,083.99 is: 378,190.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,096.57 : 641,756.01 = 274,083.99 : x
  2. Step 2: Convert to fraction form
    465,096.57/641,756.01 = 274,083.99/x
  3. Step 3: Cross multiply
    465,096.57x = 641,756.01 × 274,083.99
  4. Step 4: Simplify right side
    465,096.57x = 175,895,047,827.28
  5. Step 5: Solve for x
    x = 175,895,047,827.28/465,096.57
  6. Step 6: Final answer
    x = 378,190.38

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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.