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Finding the Fourth Proportional to 394,311.68, 591,492.17 and 267,897.61

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Solution

The fourth proportional to 394,311.68, 591,492.17 and 267,897.61 is: 401,863.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,311.68 : 591,492.17 = 267,897.61 : x
  2. Step 2: Convert to fraction form
    394,311.68/591,492.17 = 267,897.61/x
  3. Step 3: Cross multiply
    394,311.68x = 591,492.17 × 267,897.61
  4. Step 4: Simplify right side
    394,311.68x = 158,459,340,085.82
  5. Step 5: Solve for x
    x = 158,459,340,085.82/394,311.68
  6. Step 6: Final answer
    x = 401,863.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.