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Finding the Fourth Proportional to 318,729.42, 477,941.64 and 185,647.64

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Solution

The fourth proportional to 318,729.42, 477,941.64 and 185,647.64 is: 278,382.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,729.42 : 477,941.64 = 185,647.64 : x
  2. Step 2: Convert to fraction form
    318,729.42/477,941.64 = 185,647.64/x
  3. Step 3: Cross multiply
    318,729.42x = 477,941.64 × 185,647.64
  4. Step 4: Simplify right side
    318,729.42x = 88,728,737,523.73
  5. Step 5: Solve for x
    x = 88,728,737,523.73/318,729.42
  6. Step 6: Final answer
    x = 278,382.64

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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.