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Finding the Fourth Proportional to 297,703.68, 410,829.33 and 161,736.54

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Solution

The fourth proportional to 297,703.68, 410,829.33 and 161,736.54 is: 223,195.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,703.68 : 410,829.33 = 161,736.54 : x
  2. Step 2: Convert to fraction form
    297,703.68/410,829.33 = 161,736.54/x
  3. Step 3: Cross multiply
    297,703.68x = 410,829.33 × 161,736.54
  4. Step 4: Simplify right side
    297,703.68x = 66,446,114,364.72
  5. Step 5: Solve for x
    x = 66,446,114,364.72/297,703.68
  6. Step 6: Final answer
    x = 223,195.48

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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.