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Finding the Fourth Proportional to 329,230.20, 493,845.30 and 295,015.80

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Solution

The fourth proportional to 329,230.20, 493,845.30 and 295,015.80 is: 442,523.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,230.20 : 493,845.30 = 295,015.80 : x
  2. Step 2: Convert to fraction form
    329,230.20/493,845.30 = 295,015.80/x
  3. Step 3: Cross multiply
    329,230.20x = 493,845.30 × 295,015.80
  4. Step 4: Simplify right side
    329,230.20x = 145,692,166,255.74
  5. Step 5: Solve for x
    x = 145,692,166,255.74/329,230.20
  6. Step 6: Final answer
    x = 442,523.70

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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.