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Finding the Fourth Proportional to 534,739.24, 737,939.94 and 296,275.24

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Solution

The fourth proportional to 534,739.24, 737,939.94 and 296,275.24 is: 408,859.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,739.24 : 737,939.94 = 296,275.24 : x
  2. Step 2: Convert to fraction form
    534,739.24/737,939.94 = 296,275.24/x
  3. Step 3: Cross multiply
    534,739.24x = 737,939.94 × 296,275.24
  4. Step 4: Simplify right side
    534,739.24x = 218,633,332,829.09
  5. Step 5: Solve for x
    x = 218,633,332,829.09/534,739.24
  6. Step 6: Final answer
    x = 408,859.71

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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.