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Finding the Fourth Proportional to 493,983.70, 681,446.70 and 312,389.80

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Solution

The fourth proportional to 493,983.70, 681,446.70 and 312,389.80 is: 430,939.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,983.70 : 681,446.70 = 312,389.80 : x
  2. Step 2: Convert to fraction form
    493,983.70/681,446.70 = 312,389.80/x
  3. Step 3: Cross multiply
    493,983.70x = 681,446.70 × 312,389.80
  4. Step 4: Simplify right side
    493,983.70x = 212,876,998,323.66
  5. Step 5: Solve for x
    x = 212,876,998,323.66/493,983.70
  6. Step 6: Final answer
    x = 430,939.32

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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.