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Finding the Fourth Proportional to 511,452.04, 767,399.29 and 274,517.92

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Solution

The fourth proportional to 511,452.04, 767,399.29 and 274,517.92 is: 411,895.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,452.04 : 767,399.29 = 274,517.92 : x
  2. Step 2: Convert to fraction form
    511,452.04/767,399.29 = 274,517.92/x
  3. Step 3: Cross multiply
    511,452.04x = 767,399.29 × 274,517.92
  4. Step 4: Simplify right side
    511,452.04x = 210,664,859,331.54
  5. Step 5: Solve for x
    x = 210,664,859,331.54/511,452.04
  6. Step 6: Final answer
    x = 411,895.63

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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.