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Finding the Fourth Proportional to 524,105.80, 784,992.30 and 512,441.80

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Solution

The fourth proportional to 524,105.80, 784,992.30 and 512,441.80 is: 767,522.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,105.80 : 784,992.30 = 512,441.80 : x
  2. Step 2: Convert to fraction form
    524,105.80/784,992.30 = 512,441.80/x
  3. Step 3: Cross multiply
    524,105.80x = 784,992.30 × 512,441.80
  4. Step 4: Simplify right side
    524,105.80x = 402,262,867,198.14
  5. Step 5: Solve for x
    x = 402,262,867,198.14/524,105.80
  6. Step 6: Final answer
    x = 767,522.26

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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.