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Finding the Fourth Proportional to 296,453.34, 409,105.44 and 162,317.34

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Solution

The fourth proportional to 296,453.34, 409,105.44 and 162,317.34 is: 223,997.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,453.34 : 409,105.44 = 162,317.34 : x
  2. Step 2: Convert to fraction form
    296,453.34/409,105.44 = 162,317.34/x
  3. Step 3: Cross multiply
    296,453.34x = 409,105.44 × 162,317.34
  4. Step 4: Simplify right side
    296,453.34x = 66,404,906,800.33
  5. Step 5: Solve for x
    x = 66,404,906,800.33/296,453.34
  6. Step 6: Final answer
    x = 223,997.84

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1.5x scale

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.