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Finding the Fourth Proportional to 501,340.48, 691,806.46 and 294,586.97

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Solution

The fourth proportional to 501,340.48, 691,806.46 and 294,586.97 is: 406,504.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,340.48 : 691,806.46 = 294,586.97 : x
  2. Step 2: Convert to fraction form
    501,340.48/691,806.46 = 294,586.97/x
  3. Step 3: Cross multiply
    501,340.48x = 691,806.46 × 294,586.97
  4. Step 4: Simplify right side
    501,340.48x = 203,797,168,453.77
  5. Step 5: Solve for x
    x = 203,797,168,453.77/501,340.48
  6. Step 6: Final answer
    x = 406,504.51

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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.