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Finding the Fourth Proportional to 305,193.44, 457,826.92 and 147,310.88

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Solution

The fourth proportional to 305,193.44, 457,826.92 and 147,310.88 is: 220,984.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,193.44 : 457,826.92 = 147,310.88 : x
  2. Step 2: Convert to fraction form
    305,193.44/457,826.92 = 147,310.88/x
  3. Step 3: Cross multiply
    305,193.44x = 457,826.92 × 147,310.88
  4. Step 4: Simplify right side
    305,193.44x = 67,442,883,815.48
  5. Step 5: Solve for x
    x = 67,442,883,815.48/305,193.44
  6. Step 6: Final answer
    x = 220,984.05

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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.