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Finding the Fourth Proportional to 533,125.50, 799,729.57 and 178,140.78

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Solution

The fourth proportional to 533,125.50, 799,729.57 and 178,140.78 is: 267,224.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,125.50 : 799,729.57 = 178,140.78 : x
  2. Step 2: Convert to fraction form
    533,125.50/799,729.57 = 178,140.78/x
  3. Step 3: Cross multiply
    533,125.50x = 799,729.57 × 178,140.78
  4. Step 4: Simplify right side
    533,125.50x = 142,464,446,612.56
  5. Step 5: Solve for x
    x = 142,464,446,612.56/533,125.50
  6. Step 6: Final answer
    x = 267,224.97

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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.