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Finding the Fourth Proportional to 296,626.20, 409,344.00 and 160,660.11

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Solution

The fourth proportional to 296,626.20, 409,344.00 and 160,660.11 is: 221,710.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,626.20 : 409,344.00 = 160,660.11 : x
  2. Step 2: Convert to fraction form
    296,626.20/409,344.00 = 160,660.11/x
  3. Step 3: Cross multiply
    296,626.20x = 409,344.00 × 160,660.11
  4. Step 4: Simplify right side
    296,626.20x = 65,765,250,697.84
  5. Step 5: Solve for x
    x = 65,765,250,697.84/296,626.20
  6. Step 6: Final answer
    x = 221,710.86

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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.