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Finding the Fourth Proportional to 296,731.16, 409,489.04 and 160,766.04

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Solution

The fourth proportional to 296,731.16, 409,489.04 and 160,766.04 is: 221,857.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,731.16 : 409,489.04 = 160,766.04 : x
  2. Step 2: Convert to fraction form
    296,731.16/409,489.04 = 160,766.04/x
  3. Step 3: Cross multiply
    296,731.16x = 409,489.04 × 160,766.04
  4. Step 4: Simplify right side
    296,731.16x = 65,831,931,786.12
  5. Step 5: Solve for x
    x = 65,831,931,786.12/296,731.16
  6. Step 6: Final answer
    x = 221,857.16

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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.