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Finding the Fourth Proportional to 534,738.49, 737,938.91 and 296,274.49

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Solution

The fourth proportional to 534,738.49, 737,938.91 and 296,274.49 is: 408,858.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,738.49 : 737,938.91 = 296,274.49 : x
  2. Step 2: Convert to fraction form
    534,738.49/737,938.91 = 296,274.49/x
  3. Step 3: Cross multiply
    534,738.49x = 737,938.91 × 296,274.49
  4. Step 4: Simplify right side
    534,738.49x = 218,632,472,730.03
  5. Step 5: Solve for x
    x = 218,632,472,730.03/534,738.49
  6. Step 6: Final answer
    x = 408,858.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.