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Finding the Fourth Proportional to 327,464.40, 490,212.45 and 194,276.10

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Solution

The fourth proportional to 327,464.40, 490,212.45 and 194,276.10 is: 290,830.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,464.40 : 490,212.45 = 194,276.10 : x
  2. Step 2: Convert to fraction form
    327,464.40/490,212.45 = 194,276.10/x
  3. Step 3: Cross multiply
    327,464.40x = 490,212.45 × 194,276.10
  4. Step 4: Simplify right side
    327,464.40x = 95,236,562,957.45
  5. Step 5: Solve for x
    x = 95,236,562,957.45/327,464.40
  6. Step 6: Final answer
    x = 290,830.28

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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.