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Finding the Fourth Proportional to 428,003, 641,764.38 and 293,219.32

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Solution

The fourth proportional to 428,003, 641,764.38 and 293,219.32 is: 439,664.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,003 : 641,764.38 = 293,219.32 : x
  2. Step 2: Convert to fraction form
    428,003/641,764.38 = 293,219.32/x
  3. Step 3: Cross multiply
    428,003x = 641,764.38 × 293,219.32
  4. Step 4: Simplify right side
    428,003x = 188,177,715,103.82
  5. Step 5: Solve for x
    x = 188,177,715,103.82/428,003
  6. Step 6: Final answer
    x = 439,664.48

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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.