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Finding the Fourth Proportional to 297,698.34, 410,826.51 and 161,733.27

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Solution

The fourth proportional to 297,698.34, 410,826.51 and 161,733.27 is: 223,193.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,698.34 : 410,826.51 = 161,733.27 : x
  2. Step 2: Convert to fraction form
    297,698.34/410,826.51 = 161,733.27/x
  3. Step 3: Cross multiply
    297,698.34x = 410,826.51 × 161,733.27
  4. Step 4: Simplify right side
    297,698.34x = 66,444,314,864.99
  5. Step 5: Solve for x
    x = 66,444,314,864.99/297,698.34
  6. Step 6: Final answer
    x = 223,193.43

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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.