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Finding the Fourth Proportional to 782,078.82, 1,079,264.97 and 424,382.82

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Solution

The fourth proportional to 782,078.82, 1,079,264.97 and 424,382.82 is: 585,646.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,078.82 : 1,079,264.97 = 424,382.82 : x
  2. Step 2: Convert to fraction form
    782,078.82/1,079,264.97 = 424,382.82/x
  3. Step 3: Cross multiply
    782,078.82x = 1,079,264.97 × 424,382.82
  4. Step 4: Simplify right side
    782,078.82x = 458,021,511,495.82
  5. Step 5: Solve for x
    x = 458,021,511,495.82/782,078.82
  6. Step 6: Final answer
    x = 585,646.23

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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.