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Finding the Fourth Proportional to 296,371.28, 409,029 and 220,788.56

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Solution

The fourth proportional to 296,371.28, 409,029 and 220,788.56 is: 304,715.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,371.28 : 409,029 = 220,788.56 : x
  2. Step 2: Convert to fraction form
    296,371.28/409,029 = 220,788.56/x
  3. Step 3: Cross multiply
    296,371.28x = 409,029 × 220,788.56
  4. Step 4: Simplify right side
    296,371.28x = 90,308,923,908.24
  5. Step 5: Solve for x
    x = 90,308,923,908.24/296,371.28
  6. Step 6: Final answer
    x = 304,715.50

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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.