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Finding the Fourth Proportional to 394,529.32, 591,798.30 and 114,049

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Solution

The fourth proportional to 394,529.32, 591,798.30 and 114,049 is: 171,074.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,529.32 : 591,798.30 = 114,049 : x
  2. Step 2: Convert to fraction form
    394,529.32/591,798.30 = 114,049/x
  3. Step 3: Cross multiply
    394,529.32x = 591,798.30 × 114,049
  4. Step 4: Simplify right side
    394,529.32x = 67,494,004,316.70
  5. Step 5: Solve for x
    x = 67,494,004,316.70/394,529.32
  6. Step 6: Final answer
    x = 171,074.75

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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.