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Finding the Fourth Proportional to 524,311, 786,469.38 and 130,327

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Solution

The fourth proportional to 524,311, 786,469.38 and 130,327 is: 195,491.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,311 : 786,469.38 = 130,327 : x
  2. Step 2: Convert to fraction form
    524,311/786,469.38 = 130,327/x
  3. Step 3: Cross multiply
    524,311x = 786,469.38 × 130,327
  4. Step 4: Simplify right side
    524,311x = 102,498,194,887.26
  5. Step 5: Solve for x
    x = 102,498,194,887.26/524,311
  6. Step 6: Final answer
    x = 195,491.22

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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.