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Finding the Fourth Proportional to 323,900.72, 447,264.36 and 203,251.20

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Solution

The fourth proportional to 323,900.72, 447,264.36 and 203,251.20 is: 280,663.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,900.72 : 447,264.36 = 203,251.20 : x
  2. Step 2: Convert to fraction form
    323,900.72/447,264.36 = 203,251.20/x
  3. Step 3: Cross multiply
    323,900.72x = 447,264.36 × 203,251.20
  4. Step 4: Simplify right side
    323,900.72x = 90,907,017,887.23
  5. Step 5: Solve for x
    x = 90,907,017,887.23/323,900.72
  6. Step 6: Final answer
    x = 280,663.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.