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Finding the Fourth Proportional to 469,909.44, 648,475.50 and 255,049.54

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Solution

The fourth proportional to 469,909.44, 648,475.50 and 255,049.54 is: 351,968.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,909.44 : 648,475.50 = 255,049.54 : x
  2. Step 2: Convert to fraction form
    469,909.44/648,475.50 = 255,049.54/x
  3. Step 3: Cross multiply
    469,909.44x = 648,475.50 × 255,049.54
  4. Step 4: Simplify right side
    469,909.44x = 165,393,377,976.27
  5. Step 5: Solve for x
    x = 165,393,377,976.27/469,909.44
  6. Step 6: Final answer
    x = 351,968.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.