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Finding the Fourth Proportional to 297,636.33, 410,742.56 and 161,672.93

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Solution

The fourth proportional to 297,636.33, 410,742.56 and 161,672.93 is: 223,111.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,636.33 : 410,742.56 = 161,672.93 : x
  2. Step 2: Convert to fraction form
    297,636.33/410,742.56 = 161,672.93/x
  3. Step 3: Cross multiply
    297,636.33x = 410,742.56 × 161,672.93
  4. Step 4: Simplify right side
    297,636.33x = 66,405,952,342.54
  5. Step 5: Solve for x
    x = 66,405,952,342.54/297,636.33
  6. Step 6: Final answer
    x = 223,111.04

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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.