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Finding the Fourth Proportional to 297,284.54, 410,081.10 and 189,733.36

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Solution

The fourth proportional to 297,284.54, 410,081.10 and 189,733.36 is: 261,722.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,284.54 : 410,081.10 = 189,733.36 : x
  2. Step 2: Convert to fraction form
    297,284.54/410,081.10 = 189,733.36/x
  3. Step 3: Cross multiply
    297,284.54x = 410,081.10 × 189,733.36
  4. Step 4: Simplify right side
    297,284.54x = 77,806,064,975.50
  5. Step 5: Solve for x
    x = 77,806,064,975.50/297,284.54
  6. Step 6: Final answer
    x = 261,722.54

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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.