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Finding the Fourth Proportional to 682,350, 1,023,525 and 239,118

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Solution

The fourth proportional to 682,350, 1,023,525 and 239,118 is: 358,677

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,350 : 1,023,525 = 239,118 : x
  2. Step 2: Convert to fraction form
    682,350/1,023,525 = 239,118/x
  3. Step 3: Cross multiply
    682,350x = 1,023,525 × 239,118
  4. Step 4: Simplify right side
    682,350x = 244,743,250,950
  5. Step 5: Solve for x
    x = 244,743,250,950/682,350
  6. Step 6: Final answer
    x = 358,677

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.