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Finding the Fourth Proportional to 492,297.70, 738,025.31 and 188,909.56

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Solution

The fourth proportional to 492,297.70, 738,025.31 and 188,909.56 is: 283,202.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,297.70 : 738,025.31 = 188,909.56 : x
  2. Step 2: Convert to fraction form
    492,297.70/738,025.31 = 188,909.56/x
  3. Step 3: Cross multiply
    492,297.70x = 738,025.31 × 188,909.56
  4. Step 4: Simplify right side
    492,297.70x = 139,420,036,580.96
  5. Step 5: Solve for x
    x = 139,420,036,580.96/492,297.70
  6. Step 6: Final answer
    x = 283,202.70

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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.