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Finding the Fourth Proportional to 550,683.44, 826,111.56 and 235,142

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Solution

The fourth proportional to 550,683.44, 826,111.56 and 235,142 is: 352,749.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,683.44 : 826,111.56 = 235,142 : x
  2. Step 2: Convert to fraction form
    550,683.44/826,111.56 = 235,142/x
  3. Step 3: Cross multiply
    550,683.44x = 826,111.56 × 235,142
  4. Step 4: Simplify right side
    550,683.44x = 194,253,524,441.52
  5. Step 5: Solve for x
    x = 194,253,524,441.52/550,683.44
  6. Step 6: Final answer
    x = 352,749.89

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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.