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Finding the Fourth Proportional to 321,149.20, 481,723.80 and 202,435.60

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Solution

The fourth proportional to 321,149.20, 481,723.80 and 202,435.60 is: 303,653.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,149.20 : 481,723.80 = 202,435.60 : x
  2. Step 2: Convert to fraction form
    321,149.20/481,723.80 = 202,435.60/x
  3. Step 3: Cross multiply
    321,149.20x = 481,723.80 × 202,435.60
  4. Step 4: Simplify right side
    321,149.20x = 97,518,046,487.28
  5. Step 5: Solve for x
    x = 97,518,046,487.28/321,149.20
  6. Step 6: Final answer
    x = 303,653.40

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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.