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Finding the Fourth Proportional to 296,005.88, 408,479.82 and 161,867

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Solution

The fourth proportional to 296,005.88, 408,479.82 and 161,867 is: 223,371.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,005.88 : 408,479.82 = 161,867 : x
  2. Step 2: Convert to fraction form
    296,005.88/408,479.82 = 161,867/x
  3. Step 3: Cross multiply
    296,005.88x = 408,479.82 × 161,867
  4. Step 4: Simplify right side
    296,005.88x = 66,119,403,023.94
  5. Step 5: Solve for x
    x = 66,119,403,023.94/296,005.88
  6. Step 6: Final answer
    x = 223,371.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.