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Finding the Fourth Proportional to 280,441.66, 420,751 and 213,295.34

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Solution

The fourth proportional to 280,441.66, 420,751 and 213,295.34 is: 320,010.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,441.66 : 420,751 = 213,295.34 : x
  2. Step 2: Convert to fraction form
    280,441.66/420,751 = 213,295.34/x
  3. Step 3: Cross multiply
    280,441.66x = 420,751 × 213,295.34
  4. Step 4: Simplify right side
    280,441.66x = 89,744,225,496.59
  5. Step 5: Solve for x
    x = 89,744,225,496.59/280,441.66
  6. Step 6: Final answer
    x = 320,010.33

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