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Finding the Fourth Proportional to 523,495.72, 784,654.62 and 223,825.96

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Solution

The fourth proportional to 523,495.72, 784,654.62 and 223,825.96 is: 335,487.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,495.72 : 784,654.62 = 223,825.96 : x
  2. Step 2: Convert to fraction form
    523,495.72/784,654.62 = 223,825.96/x
  3. Step 3: Cross multiply
    523,495.72x = 784,654.62 × 223,825.96
  4. Step 4: Simplify right side
    523,495.72x = 175,626,073,589.94
  5. Step 5: Solve for x
    x = 175,626,073,589.94/523,495.72
  6. Step 6: Final answer
    x = 335,487.12

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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.