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Finding the Fourth Proportional to 296,515.49, 409,189.66 and 160,546.63

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Solution

The fourth proportional to 296,515.49, 409,189.66 and 160,546.63 is: 221,553.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,515.49 : 409,189.66 = 160,546.63 : x
  2. Step 2: Convert to fraction form
    296,515.49/409,189.66 = 160,546.63/x
  3. Step 3: Cross multiply
    296,515.49x = 409,189.66 × 160,546.63
  4. Step 4: Simplify right side
    296,515.49x = 65,694,020,286.74
  5. Step 5: Solve for x
    x = 65,694,020,286.74/296,515.49
  6. Step 6: Final answer
    x = 221,553.42

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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.