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Finding the Fourth Proportional to 802,506.56, 1,203,764.42 and 203,469.03

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Solution

The fourth proportional to 802,506.56, 1,203,764.42 and 203,469.03 is: 305,204.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,506.56 : 1,203,764.42 = 203,469.03 : x
  2. Step 2: Convert to fraction form
    802,506.56/1,203,764.42 = 203,469.03/x
  3. Step 3: Cross multiply
    802,506.56x = 1,203,764.42 × 203,469.03
  4. Step 4: Simplify right side
    802,506.56x = 244,928,779,394.59
  5. Step 5: Solve for x
    x = 244,928,779,394.59/802,506.56
  6. Step 6: Final answer
    x = 305,204.71

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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.