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Finding the Fourth Proportional to 494,259.72, 740,543.12 and 269,777.68

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Solution

The fourth proportional to 494,259.72, 740,543.12 and 269,777.68 is: 404,204.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,259.72 : 740,543.12 = 269,777.68 : x
  2. Step 2: Convert to fraction form
    494,259.72/740,543.12 = 269,777.68/x
  3. Step 3: Cross multiply
    494,259.72x = 740,543.12 × 269,777.68
  4. Step 4: Simplify right side
    494,259.72x = 199,782,004,853.56
  5. Step 5: Solve for x
    x = 199,782,004,853.56/494,259.72
  6. Step 6: Final answer
    x = 404,204.50

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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.