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Finding the Fourth Proportional to 294,571.99, 406,551.75 and 213,164.56

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Solution

The fourth proportional to 294,571.99, 406,551.75 and 213,164.56 is: 294,197.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,571.99 : 406,551.75 = 213,164.56 : x
  2. Step 2: Convert to fraction form
    294,571.99/406,551.75 = 213,164.56/x
  3. Step 3: Cross multiply
    294,571.99x = 406,551.75 × 213,164.56
  4. Step 4: Simplify right side
    294,571.99x = 86,662,424,905.98
  5. Step 5: Solve for x
    x = 86,662,424,905.98/294,571.99
  6. Step 6: Final answer
    x = 294,197.78

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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.