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Finding the Fourth Proportional to 682,346, 1,023,519 and 239,114

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Solution

The fourth proportional to 682,346, 1,023,519 and 239,114 is: 358,671

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,346 : 1,023,519 = 239,114 : x
  2. Step 2: Convert to fraction form
    682,346/1,023,519 = 239,114/x
  3. Step 3: Cross multiply
    682,346x = 1,023,519 × 239,114
  4. Step 4: Simplify right side
    682,346x = 244,737,722,166
  5. Step 5: Solve for x
    x = 244,737,722,166/682,346
  6. Step 6: Final answer
    x = 358,671

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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.