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Finding the Fourth Proportional to 613,021.14, 845,947.95 and 337,353.30

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Solution

The fourth proportional to 613,021.14, 845,947.95 and 337,353.30 is: 465,535.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,021.14 : 845,947.95 = 337,353.30 : x
  2. Step 2: Convert to fraction form
    613,021.14/845,947.95 = 337,353.30/x
  3. Step 3: Cross multiply
    613,021.14x = 845,947.95 × 337,353.30
  4. Step 4: Simplify right side
    613,021.14x = 285,383,332,560.74
  5. Step 5: Solve for x
    x = 285,383,332,560.74/613,021.14
  6. Step 6: Final answer
    x = 465,535.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.