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Finding the Fourth Proportional to 352,898, 486,999.24 and 193,922

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Solution

The fourth proportional to 352,898, 486,999.24 and 193,922 is: 267,612.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,898 : 486,999.24 = 193,922 : x
  2. Step 2: Convert to fraction form
    352,898/486,999.24 = 193,922/x
  3. Step 3: Cross multiply
    352,898x = 486,999.24 × 193,922
  4. Step 4: Simplify right side
    352,898x = 94,439,866,619.28
  5. Step 5: Solve for x
    x = 94,439,866,619.28/352,898
  6. Step 6: Final answer
    x = 267,612.36

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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.