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Finding the Fourth Proportional to 345,958.24, 477,422.16 and 186,982.24

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Solution

The fourth proportional to 345,958.24, 477,422.16 and 186,982.24 is: 258,035.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,958.24 : 477,422.16 = 186,982.24 : x
  2. Step 2: Convert to fraction form
    345,958.24/477,422.16 = 186,982.24/x
  3. Step 3: Cross multiply
    345,958.24x = 477,422.16 × 186,982.24
  4. Step 4: Simplify right side
    345,958.24x = 89,269,464,902.44
  5. Step 5: Solve for x
    x = 89,269,464,902.44/345,958.24
  6. Step 6: Final answer
    x = 258,035.38

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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.