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Finding the Fourth Proportional to 496,227, 684,793.26 and 269,877.36

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Solution

The fourth proportional to 496,227, 684,793.26 and 269,877.36 is: 372,430.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,227 : 684,793.26 = 269,877.36 : x
  2. Step 2: Convert to fraction form
    496,227/684,793.26 = 269,877.36/x
  3. Step 3: Cross multiply
    496,227x = 684,793.26 × 269,877.36
  4. Step 4: Simplify right side
    496,227x = 184,810,197,154.59
  5. Step 5: Solve for x
    x = 184,810,197,154.59/496,227
  6. Step 6: Final answer
    x = 372,430.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.