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Finding the Fourth Proportional to 320,211.85, 480,327.50 and 109,846.75

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Solution

The fourth proportional to 320,211.85, 480,327.50 and 109,846.75 is: 164,773.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,211.85 : 480,327.50 = 109,846.75 : x
  2. Step 2: Convert to fraction form
    320,211.85/480,327.50 = 109,846.75/x
  3. Step 3: Cross multiply
    320,211.85x = 480,327.50 × 109,846.75
  4. Step 4: Simplify right side
    320,211.85x = 52,762,414,810.63
  5. Step 5: Solve for x
    x = 52,762,414,810.63/320,211.85
  6. Step 6: Final answer
    x = 164,773.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.