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Finding the Fourth Proportional to 310,843.92, 466,265.85 and 205,638.27

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Solution

The fourth proportional to 310,843.92, 466,265.85 and 205,638.27 is: 308,457.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,843.92 : 466,265.85 = 205,638.27 : x
  2. Step 2: Convert to fraction form
    310,843.92/466,265.85 = 205,638.27/x
  3. Step 3: Cross multiply
    310,843.92x = 466,265.85 × 205,638.27
  4. Step 4: Simplify right side
    310,843.92x = 95,882,102,754.08
  5. Step 5: Solve for x
    x = 95,882,102,754.08/310,843.92
  6. Step 6: Final answer
    x = 308,457.39

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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.