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Finding the Fourth Proportional to 496,120.81, 743,325.31 and 271,642.81

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Solution

The fourth proportional to 496,120.81, 743,325.31 and 271,642.81 is: 406,995.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,120.81 : 743,325.31 = 271,642.81 : x
  2. Step 2: Convert to fraction form
    496,120.81/743,325.31 = 271,642.81/x
  3. Step 3: Cross multiply
    496,120.81x = 743,325.31 × 271,642.81
  4. Step 4: Simplify right side
    496,120.81x = 201,918,975,952.52
  5. Step 5: Solve for x
    x = 201,918,975,952.52/496,120.81
  6. Step 6: Final answer
    x = 406,995.58

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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.