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Finding the Fourth Proportional to 782,105.63, 1,079,305.76 and 424,409.63

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Solution

The fourth proportional to 782,105.63, 1,079,305.76 and 424,409.63 is: 585,685.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,105.63 : 1,079,305.76 = 424,409.63 : x
  2. Step 2: Convert to fraction form
    782,105.63/1,079,305.76 = 424,409.63/x
  3. Step 3: Cross multiply
    782,105.63x = 1,079,305.76 × 424,409.63
  4. Step 4: Simplify right side
    782,105.63x = 458,067,753,922.96
  5. Step 5: Solve for x
    x = 458,067,753,922.96/782,105.63
  6. Step 6: Final answer
    x = 585,685.28

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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.