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Finding the Fourth Proportional to 682,111.87, 941,380.92 and 509,730.49

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Solution

The fourth proportional to 682,111.87, 941,380.92 and 509,730.49 is: 703,477.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,111.87 : 941,380.92 = 509,730.49 : x
  2. Step 2: Convert to fraction form
    682,111.87/941,380.92 = 509,730.49/x
  3. Step 3: Cross multiply
    682,111.87x = 941,380.92 × 509,730.49
  4. Step 4: Simplify right side
    682,111.87x = 479,850,557,628.25
  5. Step 5: Solve for x
    x = 479,850,557,628.25/682,111.87
  6. Step 6: Final answer
    x = 703,477.80

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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.