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Finding the Fourth Proportional to 493,214.57, 739,855.25 and 173,327.55

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Solution

The fourth proportional to 493,214.57, 739,855.25 and 173,327.55 is: 260,003.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,214.57 : 739,855.25 = 173,327.55 : x
  2. Step 2: Convert to fraction form
    493,214.57/739,855.25 = 173,327.55/x
  3. Step 3: Cross multiply
    493,214.57x = 739,855.25 × 173,327.55
  4. Step 4: Simplify right side
    493,214.57x = 128,237,294,846.02
  5. Step 5: Solve for x
    x = 128,237,294,846.02/493,214.57
  6. Step 6: Final answer
    x = 260,003.06

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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.