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Finding the Fourth Proportional to 523,997.56, 786,043.86 and 144,942.04

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Solution

The fourth proportional to 523,997.56, 786,043.86 and 144,942.04 is: 217,426.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,997.56 : 786,043.86 = 144,942.04 : x
  2. Step 2: Convert to fraction form
    523,997.56/786,043.86 = 144,942.04/x
  3. Step 3: Cross multiply
    523,997.56x = 786,043.86 × 144,942.04
  4. Step 4: Simplify right side
    523,997.56x = 113,930,800,597.87
  5. Step 5: Solve for x
    x = 113,930,800,597.87/523,997.56
  6. Step 6: Final answer
    x = 217,426.20

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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.