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Finding the Fourth Proportional to 641,523.52, 962,280.96 and 501,400

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Solution

The fourth proportional to 641,523.52, 962,280.96 and 501,400 is: 752,096.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,523.52 : 962,280.96 = 501,400 : x
  2. Step 2: Convert to fraction form
    641,523.52/962,280.96 = 501,400/x
  3. Step 3: Cross multiply
    641,523.52x = 962,280.96 × 501,400
  4. Step 4: Simplify right side
    641,523.52x = 482,487,673,344
  5. Step 5: Solve for x
    x = 482,487,673,344/641,523.52
  6. Step 6: Final answer
    x = 752,096.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.