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Finding the Fourth Proportional to 296,870, 409,682.04 and 177,638

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Solution

The fourth proportional to 296,870, 409,682.04 and 177,638 is: 245,141.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,870 : 409,682.04 = 177,638 : x
  2. Step 2: Convert to fraction form
    296,870/409,682.04 = 177,638/x
  3. Step 3: Cross multiply
    296,870x = 409,682.04 × 177,638
  4. Step 4: Simplify right side
    296,870x = 72,775,098,221.52
  5. Step 5: Solve for x
    x = 72,775,098,221.52/296,870
  6. Step 6: Final answer
    x = 245,141.30

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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.