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Finding the Fourth Proportional to 323,776.46, 447,093.51 and 203,125.16

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Solution

The fourth proportional to 323,776.46, 447,093.51 and 203,125.16 is: 280,489.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,776.46 : 447,093.51 = 203,125.16 : x
  2. Step 2: Convert to fraction form
    323,776.46/447,093.51 = 203,125.16/x
  3. Step 3: Cross multiply
    323,776.46x = 447,093.51 × 203,125.16
  4. Step 4: Simplify right side
    323,776.46x = 90,815,940,753.71
  5. Step 5: Solve for x
    x = 90,815,940,753.71/323,776.46
  6. Step 6: Final answer
    x = 280,489.63

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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.