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Finding the Fourth Proportional to 318,880.44, 477,992.52 and 141,471

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Solution

The fourth proportional to 318,880.44, 477,992.52 and 141,471 is: 212,060.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,880.44 : 477,992.52 = 141,471 : x
  2. Step 2: Convert to fraction form
    318,880.44/477,992.52 = 141,471/x
  3. Step 3: Cross multiply
    318,880.44x = 477,992.52 × 141,471
  4. Step 4: Simplify right side
    318,880.44x = 67,622,079,796.92
  5. Step 5: Solve for x
    x = 67,622,079,796.92/318,880.44
  6. Step 6: Final answer
    x = 212,060.92

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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.