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Finding the Fourth Proportional to 296,517.80, 409,194.80 and 160,551.86

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Solution

The fourth proportional to 296,517.80, 409,194.80 and 160,551.86 is: 221,561.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,517.80 : 409,194.80 = 160,551.86 : x
  2. Step 2: Convert to fraction form
    296,517.80/409,194.80 = 160,551.86/x
  3. Step 3: Cross multiply
    296,517.80x = 409,194.80 × 160,551.86
  4. Step 4: Simplify right side
    296,517.80x = 65,696,985,439.57
  5. Step 5: Solve for x
    x = 65,696,985,439.57/296,517.80
  6. Step 6: Final answer
    x = 221,561.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.