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Finding the Fourth Proportional to 296,487.08, 409,149.14 and 160,517.42

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Solution

The fourth proportional to 296,487.08, 409,149.14 and 160,517.42 is: 221,512.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,487.08 : 409,149.14 = 160,517.42 : x
  2. Step 2: Convert to fraction form
    296,487.08/409,149.14 = 160,517.42/x
  3. Step 3: Cross multiply
    296,487.08x = 409,149.14 × 160,517.42
  4. Step 4: Simplify right side
    296,487.08x = 65,675,564,348.02
  5. Step 5: Solve for x
    x = 65,675,564,348.02/296,487.08
  6. Step 6: Final answer
    x = 221,512.40

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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.