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Finding the Fourth Proportional to 548,806.41, 823,005.02 and 188,876.70

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Solution

The fourth proportional to 548,806.41, 823,005.02 and 188,876.70 is: 283,244.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,806.41 : 823,005.02 = 188,876.70 : x
  2. Step 2: Convert to fraction form
    548,806.41/823,005.02 = 188,876.70/x
  3. Step 3: Cross multiply
    548,806.41x = 823,005.02 × 188,876.70
  4. Step 4: Simplify right side
    548,806.41x = 155,446,471,316.65
  5. Step 5: Solve for x
    x = 155,446,471,316.65/548,806.41
  6. Step 6: Final answer
    x = 283,244.64

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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.