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Finding the Fourth Proportional to 393,839.60, 590,540.70 and 156,914.60

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Solution

The fourth proportional to 393,839.60, 590,540.70 and 156,914.60 is: 235,284.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,839.60 : 590,540.70 = 156,914.60 : x
  2. Step 2: Convert to fraction form
    393,839.60/590,540.70 = 156,914.60/x
  3. Step 3: Cross multiply
    393,839.60x = 590,540.70 × 156,914.60
  4. Step 4: Simplify right side
    393,839.60x = 92,664,457,724.22
  5. Step 5: Solve for x
    x = 92,664,457,724.22/393,839.60
  6. Step 6: Final answer
    x = 235,284.76

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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.