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Finding the Fourth Proportional to 496,002.06, 684,487.71 and 269,652.42

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Solution

The fourth proportional to 496,002.06, 684,487.71 and 269,652.42 is: 372,122.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,002.06 : 684,487.71 = 269,652.42 : x
  2. Step 2: Convert to fraction form
    496,002.06/684,487.71 = 269,652.42/x
  3. Step 3: Cross multiply
    496,002.06x = 684,487.71 × 269,652.42
  4. Step 4: Simplify right side
    496,002.06x = 184,573,768,498.85
  5. Step 5: Solve for x
    x = 184,573,768,498.85/496,002.06
  6. Step 6: Final answer
    x = 372,122.99

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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.