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Finding the Fourth Proportional to 349,083.57, 481,731.39 and 205,889.76

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Solution

The fourth proportional to 349,083.57, 481,731.39 and 205,889.76 is: 284,125.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,083.57 : 481,731.39 = 205,889.76 : x
  2. Step 2: Convert to fraction form
    349,083.57/481,731.39 = 205,889.76/x
  3. Step 3: Cross multiply
    349,083.57x = 481,731.39 × 205,889.76
  4. Step 4: Simplify right side
    349,083.57x = 99,183,560,271.57
  5. Step 5: Solve for x
    x = 99,183,560,271.57/349,083.57
  6. Step 6: Final answer
    x = 284,125.55

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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.