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Finding the Fourth Proportional to 469,856.97, 648,308.83 and 285,972.38

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Solution

The fourth proportional to 469,856.97, 648,308.83 and 285,972.38 is: 394,584.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,856.97 : 648,308.83 = 285,972.38 : x
  2. Step 2: Convert to fraction form
    469,856.97/648,308.83 = 285,972.38/x
  3. Step 3: Cross multiply
    469,856.97x = 648,308.83 × 285,972.38
  4. Step 4: Simplify right side
    469,856.97x = 185,398,418,375.18
  5. Step 5: Solve for x
    x = 185,398,418,375.18/469,856.97
  6. Step 6: Final answer
    x = 394,584.80

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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.