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Finding the Fourth Proportional to 550,661.44, 826,078.56 and 235,120

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Solution

The fourth proportional to 550,661.44, 826,078.56 and 235,120 is: 352,716.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,661.44 : 826,078.56 = 235,120 : x
  2. Step 2: Convert to fraction form
    550,661.44/826,078.56 = 235,120/x
  3. Step 3: Cross multiply
    550,661.44x = 826,078.56 × 235,120
  4. Step 4: Simplify right side
    550,661.44x = 194,227,591,027.20
  5. Step 5: Solve for x
    x = 194,227,591,027.20/550,661.44
  6. Step 6: Final answer
    x = 352,716.89

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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.