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Finding the Fourth Proportional to 296,647.76, 409,504.20 and 189,357.68

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Solution

The fourth proportional to 296,647.76, 409,504.20 and 189,357.68 is: 261,396.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,647.76 : 409,504.20 = 189,357.68 : x
  2. Step 2: Convert to fraction form
    296,647.76/409,504.20 = 189,357.68/x
  3. Step 3: Cross multiply
    296,647.76x = 409,504.20 × 189,357.68
  4. Step 4: Simplify right side
    296,647.76x = 77,542,765,262.26
  5. Step 5: Solve for x
    x = 77,542,765,262.26/296,647.76
  6. Step 6: Final answer
    x = 261,396.77

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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.