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Finding the Fourth Proportional to 482,275.26, 723,265.09 and 333,471.78

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Solution

The fourth proportional to 482,275.26, 723,265.09 and 333,471.78 is: 500,105.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,275.26 : 723,265.09 = 333,471.78 : x
  2. Step 2: Convert to fraction form
    482,275.26/723,265.09 = 333,471.78/x
  3. Step 3: Cross multiply
    482,275.26x = 723,265.09 × 333,471.78
  4. Step 4: Simplify right side
    482,275.26x = 241,188,496,140.48
  5. Step 5: Solve for x
    x = 241,188,496,140.48/482,275.26
  6. Step 6: Final answer
    x = 500,105.47

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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.