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Finding the Fourth Proportional to 296,406.52, 409,041 and 162,270.52

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Solution

The fourth proportional to 296,406.52, 409,041 and 162,270.52 is: 223,933.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,406.52 : 409,041 = 162,270.52 : x
  2. Step 2: Convert to fraction form
    296,406.52/409,041 = 162,270.52/x
  3. Step 3: Cross multiply
    296,406.52x = 409,041 × 162,270.52
  4. Step 4: Simplify right side
    296,406.52x = 66,375,295,771.32
  5. Step 5: Solve for x
    x = 66,375,295,771.32/296,406.52
  6. Step 6: Final answer
    x = 223,933.32

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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.