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Finding the Fourth Proportional to 496,162.80, 684,696.60 and 269,814

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Solution

The fourth proportional to 496,162.80, 684,696.60 and 269,814 is: 372,338.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,162.80 : 684,696.60 = 269,814 : x
  2. Step 2: Convert to fraction form
    496,162.80/684,696.60 = 269,814/x
  3. Step 3: Cross multiply
    496,162.80x = 684,696.60 × 269,814
  4. Step 4: Simplify right side
    496,162.80x = 184,740,728,432.40
  5. Step 5: Solve for x
    x = 184,740,728,432.40/496,162.80
  6. Step 6: Final answer
    x = 372,338.93

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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.