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Finding the Fourth Proportional to 496,399.24, 738,984.47 and 493,446.80

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Solution

The fourth proportional to 496,399.24, 738,984.47 and 493,446.80 is: 734,589.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,399.24 : 738,984.47 = 493,446.80 : x
  2. Step 2: Convert to fraction form
    496,399.24/738,984.47 = 493,446.80/x
  3. Step 3: Cross multiply
    496,399.24x = 738,984.47 × 493,446.80
  4. Step 4: Simplify right side
    496,399.24x = 364,649,521,971.20
  5. Step 5: Solve for x
    x = 364,649,521,971.20/496,399.24
  6. Step 6: Final answer
    x = 734,589.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.