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Finding the Fourth Proportional to 550,996.20, 825,473.70 and 313,633.80

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Solution

The fourth proportional to 550,996.20, 825,473.70 and 313,633.80 is: 469,869.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,996.20 : 825,473.70 = 313,633.80 : x
  2. Step 2: Convert to fraction form
    550,996.20/825,473.70 = 313,633.80/x
  3. Step 3: Cross multiply
    550,996.20x = 825,473.70 × 313,633.80
  4. Step 4: Simplify right side
    550,996.20x = 258,896,453,331.06
  5. Step 5: Solve for x
    x = 258,896,453,331.06/550,996.20
  6. Step 6: Final answer
    x = 469,869.76

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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.