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Finding the Fourth Proportional to 496,218.37, 684,489.81 and 312,164.23

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Solution

The fourth proportional to 496,218.37, 684,489.81 and 312,164.23 is: 430,603.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,218.37 : 684,489.81 = 312,164.23 : x
  2. Step 2: Convert to fraction form
    496,218.37/684,489.81 = 312,164.23/x
  3. Step 3: Cross multiply
    496,218.37x = 684,489.81 × 312,164.23
  4. Step 4: Simplify right side
    496,218.37x = 213,673,234,481.50
  5. Step 5: Solve for x
    x = 213,673,234,481.50/496,218.37
  6. Step 6: Final answer
    x = 430,603.23

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