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Finding the Fourth Proportional to 682,936.40, 942,012.36 and 414,664.40

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Solution

The fourth proportional to 682,936.40, 942,012.36 and 414,664.40 is: 571,969.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,936.40 : 942,012.36 = 414,664.40 : x
  2. Step 2: Convert to fraction form
    682,936.40/942,012.36 = 414,664.40/x
  3. Step 3: Cross multiply
    682,936.40x = 942,012.36 × 414,664.40
  4. Step 4: Simplify right side
    682,936.40x = 390,618,990,051.98
  5. Step 5: Solve for x
    x = 390,618,990,051.98/682,936.40
  6. Step 6: Final answer
    x = 571,969.79

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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.