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Finding the Fourth Proportional to 523,914.56, 723,002.10 and 285,450.56

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Solution

The fourth proportional to 523,914.56, 723,002.10 and 285,450.56 is: 393,921.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,914.56 : 723,002.10 = 285,450.56 : x
  2. Step 2: Convert to fraction form
    523,914.56/723,002.10 = 285,450.56/x
  3. Step 3: Cross multiply
    523,914.56x = 723,002.10 × 285,450.56
  4. Step 4: Simplify right side
    523,914.56x = 206,381,355,063.24
  5. Step 5: Solve for x
    x = 206,381,355,063.24/523,914.56
  6. Step 6: Final answer
    x = 393,921.78

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