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Finding the Fourth Proportional to 523,020.30, 784,664.10 and 168,037.80

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Solution

The fourth proportional to 523,020.30, 784,664.10 and 168,037.80 is: 252,099.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,020.30 : 784,664.10 = 168,037.80 : x
  2. Step 2: Convert to fraction form
    523,020.30/784,664.10 = 168,037.80/x
  3. Step 3: Cross multiply
    523,020.30x = 784,664.10 × 168,037.80
  4. Step 4: Simplify right side
    523,020.30x = 131,853,229,102.98
  5. Step 5: Solve for x
    x = 131,853,229,102.98/523,020.30
  6. Step 6: Final answer
    x = 252,099.64

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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.