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Finding the Fourth Proportional to 515,940.24, 711,958.50 and 289,542

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Solution

The fourth proportional to 515,940.24, 711,958.50 and 289,542 is: 399,546.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,940.24 : 711,958.50 = 289,542 : x
  2. Step 2: Convert to fraction form
    515,940.24/711,958.50 = 289,542/x
  3. Step 3: Cross multiply
    515,940.24x = 711,958.50 × 289,542
  4. Step 4: Simplify right side
    515,940.24x = 206,141,888,007
  5. Step 5: Solve for x
    x = 206,141,888,007/515,940.24
  6. Step 6: Final answer
    x = 399,546.06

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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.