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Finding the Fourth Proportional to 682,675.68, 942,350.40 and 513,398.40

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Solution

The fourth proportional to 682,675.68, 942,350.40 and 513,398.40 is: 708,683.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,675.68 : 942,350.40 = 513,398.40 : x
  2. Step 2: Convert to fraction form
    682,675.68/942,350.40 = 513,398.40/x
  3. Step 3: Cross multiply
    682,675.68x = 942,350.40 × 513,398.40
  4. Step 4: Simplify right side
    682,675.68x = 483,801,187,599.36
  5. Step 5: Solve for x
    x = 483,801,187,599.36/682,675.68
  6. Step 6: Final answer
    x = 708,683.79

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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.