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Finding the Fourth Proportional to 297,423.23, 410,447.25 and 161,458.45

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Solution

The fourth proportional to 297,423.23, 410,447.25 and 161,458.45 is: 222,814.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,423.23 : 410,447.25 = 161,458.45 : x
  2. Step 2: Convert to fraction form
    297,423.23/410,447.25 = 161,458.45/x
  3. Step 3: Cross multiply
    297,423.23x = 410,447.25 × 161,458.45
  4. Step 4: Simplify right side
    297,423.23x = 66,270,175,765.64
  5. Step 5: Solve for x
    x = 66,270,175,765.64/297,423.23
  6. Step 6: Final answer
    x = 222,814.39

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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.