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Finding the Fourth Proportional to 318,504.24, 477,954 and 185,443.92

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Solution

The fourth proportional to 318,504.24, 477,954 and 185,443.92 is: 278,280.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,504.24 : 477,954 = 185,443.92 : x
  2. Step 2: Convert to fraction form
    318,504.24/477,954 = 185,443.92/x
  3. Step 3: Cross multiply
    318,504.24x = 477,954 × 185,443.92
  4. Step 4: Simplify right side
    318,504.24x = 88,633,663,339.68
  5. Step 5: Solve for x
    x = 88,633,663,339.68/318,504.24
  6. Step 6: Final answer
    x = 278,280.95

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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.