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Finding the Fourth Proportional to 296,706.24, 409,480.92 and 169,422.84

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Solution

The fourth proportional to 296,706.24, 409,480.92 and 169,422.84 is: 233,818.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,706.24 : 409,480.92 = 169,422.84 : x
  2. Step 2: Convert to fraction form
    296,706.24/409,480.92 = 169,422.84/x
  3. Step 3: Cross multiply
    296,706.24x = 409,480.92 × 169,422.84
  4. Step 4: Simplify right side
    296,706.24x = 69,375,420,392.21
  5. Step 5: Solve for x
    x = 69,375,420,392.21/296,706.24
  6. Step 6: Final answer
    x = 233,818.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.