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Finding the Fourth Proportional to 218,509.40, 327,764.10 and 173,408.60

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Solution

The fourth proportional to 218,509.40, 327,764.10 and 173,408.60 is: 260,112.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,509.40 : 327,764.10 = 173,408.60 : x
  2. Step 2: Convert to fraction form
    218,509.40/327,764.10 = 173,408.60/x
  3. Step 3: Cross multiply
    218,509.40x = 327,764.10 × 173,408.60
  4. Step 4: Simplify right side
    218,509.40x = 56,837,113,711.26
  5. Step 5: Solve for x
    x = 56,837,113,711.26/218,509.40
  6. Step 6: Final answer
    x = 260,112.90

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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.