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Finding the Fourth Proportional to 291,471.38, 402,231.34 and 168,987.57

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Solution

The fourth proportional to 291,471.38, 402,231.34 and 168,987.57 is: 233,203.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,471.38 : 402,231.34 = 168,987.57 : x
  2. Step 2: Convert to fraction form
    291,471.38/402,231.34 = 168,987.57/x
  3. Step 3: Cross multiply
    291,471.38x = 402,231.34 × 168,987.57
  4. Step 4: Simplify right side
    291,471.38x = 67,972,096,724.44
  5. Step 5: Solve for x
    x = 67,972,096,724.44/291,471.38
  6. Step 6: Final answer
    x = 233,203.33

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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.