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Finding the Fourth Proportional to 493,656.20, 738,612.30 and 327,768.20

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Solution

The fourth proportional to 493,656.20, 738,612.30 and 327,768.20 is: 490,409.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,656.20 : 738,612.30 = 327,768.20 : x
  2. Step 2: Convert to fraction form
    493,656.20/738,612.30 = 327,768.20/x
  3. Step 3: Cross multiply
    493,656.20x = 738,612.30 × 327,768.20
  4. Step 4: Simplify right side
    493,656.20x = 242,093,624,068.86
  5. Step 5: Solve for x
    x = 242,093,624,068.86/493,656.20
  6. Step 6: Final answer
    x = 490,409.37

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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.