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Finding the Fourth Proportional to 516,883.68, 775,519.92 and 179,949.60

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Solution

The fourth proportional to 516,883.68, 775,519.92 and 179,949.60 is: 269,992.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,883.68 : 775,519.92 = 179,949.60 : x
  2. Step 2: Convert to fraction form
    516,883.68/775,519.92 = 179,949.60/x
  3. Step 3: Cross multiply
    516,883.68x = 775,519.92 × 179,949.60
  4. Step 4: Simplify right side
    516,883.68x = 139,554,499,396.03
  5. Step 5: Solve for x
    x = 139,554,499,396.03/516,883.68
  6. Step 6: Final answer
    x = 269,992.08

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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.