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Finding the Fourth Proportional to 298,412.43, 411,809.15 and 162,447.37

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Solution

The fourth proportional to 298,412.43, 411,809.15 and 162,447.37 is: 224,177.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,412.43 : 411,809.15 = 162,447.37 : x
  2. Step 2: Convert to fraction form
    298,412.43/411,809.15 = 162,447.37/x
  3. Step 3: Cross multiply
    298,412.43x = 411,809.15 × 162,447.37
  4. Step 4: Simplify right side
    298,412.43x = 66,897,313,778.03
  5. Step 5: Solve for x
    x = 66,897,313,778.03/298,412.43
  6. Step 6: Final answer
    x = 224,177.37

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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.