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Finding the Fourth Proportional to 339,814.64, 509,734.92 and 173,408.24

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Solution

The fourth proportional to 339,814.64, 509,734.92 and 173,408.24 is: 260,118.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,814.64 : 509,734.92 = 173,408.24 : x
  2. Step 2: Convert to fraction form
    339,814.64/509,734.92 = 173,408.24/x
  3. Step 3: Cross multiply
    339,814.64x = 509,734.92 × 173,408.24
  4. Step 4: Simplify right side
    339,814.64x = 88,392,235,343.74
  5. Step 5: Solve for x
    x = 88,392,235,343.74/339,814.64
  6. Step 6: Final answer
    x = 260,118.97

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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.