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Finding the Fourth Proportional to 535,439.52, 738,912.24 and 293,722.56

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Solution

The fourth proportional to 535,439.52, 738,912.24 and 293,722.56 is: 405,340.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,439.52 : 738,912.24 = 293,722.56 : x
  2. Step 2: Convert to fraction form
    535,439.52/738,912.24 = 293,722.56/x
  3. Step 3: Cross multiply
    535,439.52x = 738,912.24 × 293,722.56
  4. Step 4: Simplify right side
    535,439.52x = 217,035,194,748.13
  5. Step 5: Solve for x
    x = 217,035,194,748.13/535,439.52
  6. Step 6: Final answer
    x = 405,340.26

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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.