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Finding the Fourth Proportional to 327,877.20, 492,276.60 and 203,461.20

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Solution

The fourth proportional to 327,877.20, 492,276.60 and 203,461.20 is: 305,477.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,877.20 : 492,276.60 = 203,461.20 : x
  2. Step 2: Convert to fraction form
    327,877.20/492,276.60 = 203,461.20/x
  3. Step 3: Cross multiply
    327,877.20x = 492,276.60 × 203,461.20
  4. Step 4: Simplify right side
    327,877.20x = 100,159,187,767.92
  5. Step 5: Solve for x
    x = 100,159,187,767.92/327,877.20
  6. Step 6: Final answer
    x = 305,477.75

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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.