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Finding the Fourth Proportional to 394,492.32, 591,680.16 and 145,116

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Solution

The fourth proportional to 394,492.32, 591,680.16 and 145,116 is: 217,652.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,492.32 : 591,680.16 = 145,116 : x
  2. Step 2: Convert to fraction form
    394,492.32/591,680.16 = 145,116/x
  3. Step 3: Cross multiply
    394,492.32x = 591,680.16 × 145,116
  4. Step 4: Simplify right side
    394,492.32x = 85,862,258,098.56
  5. Step 5: Solve for x
    x = 85,862,258,098.56/394,492.32
  6. Step 6: Final answer
    x = 217,652.55

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