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Finding the Fourth Proportional to 517,650.14, 775,424.14 and 261,324.43

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Solution

The fourth proportional to 517,650.14, 775,424.14 and 261,324.43 is: 391,456.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,650.14 : 775,424.14 = 261,324.43 : x
  2. Step 2: Convert to fraction form
    517,650.14/775,424.14 = 261,324.43/x
  3. Step 3: Cross multiply
    517,650.14x = 775,424.14 × 261,324.43
  4. Step 4: Simplify right side
    517,650.14x = 202,637,268,801.87
  5. Step 5: Solve for x
    x = 202,637,268,801.87/517,650.14
  6. Step 6: Final answer
    x = 391,456.03

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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.