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Finding the Fourth Proportional to 523,494.72, 784,653.12 and 223,824.96

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Solution

The fourth proportional to 523,494.72, 784,653.12 and 223,824.96 is: 335,485.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,494.72 : 784,653.12 = 223,824.96 : x
  2. Step 2: Convert to fraction form
    523,494.72/784,653.12 = 223,824.96/x
  3. Step 3: Cross multiply
    523,494.72x = 784,653.12 × 223,824.96
  4. Step 4: Simplify right side
    523,494.72x = 175,624,953,197.88
  5. Step 5: Solve for x
    x = 175,624,953,197.88/523,494.72
  6. Step 6: Final answer
    x = 335,485.62

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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.