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Finding the Fourth Proportional to 534,739, 737,939.82 and 296,275

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Solution

The fourth proportional to 534,739, 737,939.82 and 296,275 is: 408,859.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,739 : 737,939.82 = 296,275 : x
  2. Step 2: Convert to fraction form
    534,739/737,939.82 = 296,275/x
  3. Step 3: Cross multiply
    534,739x = 737,939.82 × 296,275
  4. Step 4: Simplify right side
    534,739x = 218,633,120,170.50
  5. Step 5: Solve for x
    x = 218,633,120,170.50/534,739
  6. Step 6: Final answer
    x = 408,859.50

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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.