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Finding the Fourth Proportional to 471,505.78, 707,251.75 and 116,519.79

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Solution

The fourth proportional to 471,505.78, 707,251.75 and 116,519.79 is: 174,777.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,505.78 : 707,251.75 = 116,519.79 : x
  2. Step 2: Convert to fraction form
    471,505.78/707,251.75 = 116,519.79/x
  3. Step 3: Cross multiply
    471,505.78x = 707,251.75 × 116,519.79
  4. Step 4: Simplify right side
    471,505.78x = 82,408,824,804.53
  5. Step 5: Solve for x
    x = 82,408,824,804.53/471,505.78
  6. Step 6: Final answer
    x = 174,777.97

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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.