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Finding the Fourth Proportional to 296,824.40, 409,616.76 and 160,862.24

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Solution

The fourth proportional to 296,824.40, 409,616.76 and 160,862.24 is: 221,989.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,824.40 : 409,616.76 = 160,862.24 : x
  2. Step 2: Convert to fraction form
    296,824.40/409,616.76 = 160,862.24/x
  3. Step 3: Cross multiply
    296,824.40x = 409,616.76 × 160,862.24
  4. Step 4: Simplify right side
    296,824.40x = 65,891,869,555.14
  5. Step 5: Solve for x
    x = 65,891,869,555.14/296,824.40
  6. Step 6: Final answer
    x = 221,989.40

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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.