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Finding the Fourth Proportional to 496,249, 684,824.43 and 269,894.50

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Solution

The fourth proportional to 496,249, 684,824.43 and 269,894.50 is: 372,454.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,249 : 684,824.43 = 269,894.50 : x
  2. Step 2: Convert to fraction form
    496,249/684,824.43 = 269,894.50/x
  3. Step 3: Cross multiply
    496,249x = 684,824.43 × 269,894.50
  4. Step 4: Simplify right side
    496,249x = 184,830,347,122.64
  5. Step 5: Solve for x
    x = 184,830,347,122.64/496,249
  6. Step 6: Final answer
    x = 372,454.85

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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.