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Finding the Fourth Proportional to 490,249.60, 734,596.80 and 323,843.20

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Solution

The fourth proportional to 490,249.60, 734,596.80 and 323,843.20 is: 485,251.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,249.60 : 734,596.80 = 323,843.20 : x
  2. Step 2: Convert to fraction form
    490,249.60/734,596.80 = 323,843.20/x
  3. Step 3: Cross multiply
    490,249.60x = 734,596.80 × 323,843.20
  4. Step 4: Simplify right side
    490,249.60x = 237,894,178,421.76
  5. Step 5: Solve for x
    x = 237,894,178,421.76/490,249.60
  6. Step 6: Final answer
    x = 485,251.14

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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.