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Finding the Fourth Proportional to 682,936.90, 942,013.05 and 414,664.90

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Solution

The fourth proportional to 682,936.90, 942,013.05 and 414,664.90 is: 571,970.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,936.90 : 942,013.05 = 414,664.90 : x
  2. Step 2: Convert to fraction form
    682,936.90/942,013.05 = 414,664.90/x
  3. Step 3: Cross multiply
    682,936.90x = 942,013.05 × 414,664.90
  4. Step 4: Simplify right side
    682,936.90x = 390,619,747,176.95
  5. Step 5: Solve for x
    x = 390,619,747,176.95/682,936.90
  6. Step 6: Final answer
    x = 571,970.48

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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.