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Finding the Fourth Proportional to 534,601, 737,749.38 and 296,137

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Solution

The fourth proportional to 534,601, 737,749.38 and 296,137 is: 408,669.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,601 : 737,749.38 = 296,137 : x
  2. Step 2: Convert to fraction form
    534,601/737,749.38 = 296,137/x
  3. Step 3: Cross multiply
    534,601x = 737,749.38 × 296,137
  4. Step 4: Simplify right side
    534,601x = 218,474,888,145.06
  5. Step 5: Solve for x
    x = 218,474,888,145.06/534,601
  6. Step 6: Final answer
    x = 408,669.06

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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.