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Finding the Fourth Proportional to 494,259.84, 740,543.51 and 269,777.86

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Solution

The fourth proportional to 494,259.84, 740,543.51 and 269,777.86 is: 404,204.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,259.84 : 740,543.51 = 269,777.86 : x
  2. Step 2: Convert to fraction form
    494,259.84/740,543.51 = 269,777.86/x
  3. Step 3: Cross multiply
    494,259.84x = 740,543.51 × 269,777.86
  4. Step 4: Simplify right side
    494,259.84x = 199,782,242,187.77
  5. Step 5: Solve for x
    x = 199,782,242,187.77/494,259.84
  6. Step 6: Final answer
    x = 404,204.89

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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.