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Finding the Fourth Proportional to 682,779, 942,234.36 and 380,973

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Solution

The fourth proportional to 682,779, 942,234.36 and 380,973 is: 525,742.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,779 : 942,234.36 = 380,973 : x
  2. Step 2: Convert to fraction form
    682,779/942,234.36 = 380,973/x
  3. Step 3: Cross multiply
    682,779x = 942,234.36 × 380,973
  4. Step 4: Simplify right side
    682,779x = 358,965,850,832.28
  5. Step 5: Solve for x
    x = 358,965,850,832.28/682,779
  6. Step 6: Final answer
    x = 525,742.37

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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.