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Finding the Fourth Proportional to 496,247.30, 684,801.50 and 269,892.98

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Solution

The fourth proportional to 496,247.30, 684,801.50 and 269,892.98 is: 372,441.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,247.30 : 684,801.50 = 269,892.98 : x
  2. Step 2: Convert to fraction form
    496,247.30/684,801.50 = 269,892.98/x
  3. Step 3: Cross multiply
    496,247.30x = 684,801.50 × 269,892.98
  4. Step 4: Simplify right side
    496,247.30x = 184,823,117,543.47
  5. Step 5: Solve for x
    x = 184,823,117,543.47/496,247.30
  6. Step 6: Final answer
    x = 372,441.56

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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.