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Finding the Fourth Proportional to 310,500.93, 465,704.58 and 198,960.60

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Solution

The fourth proportional to 310,500.93, 465,704.58 and 198,960.60 is: 298,410.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,500.93 : 465,704.58 = 198,960.60 : x
  2. Step 2: Convert to fraction form
    310,500.93/465,704.58 = 198,960.60/x
  3. Step 3: Cross multiply
    310,500.93x = 465,704.58 × 198,960.60
  4. Step 4: Simplify right side
    310,500.93x = 92,656,862,659.55
  5. Step 5: Solve for x
    x = 92,656,862,659.55/310,500.93
  6. Step 6: Final answer
    x = 298,410.90

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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.