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Finding the Fourth Proportional to 534,614, 737,767.32 and 296,150

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Solution

The fourth proportional to 534,614, 737,767.32 and 296,150 is: 408,687

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,614 : 737,767.32 = 296,150 : x
  2. Step 2: Convert to fraction form
    534,614/737,767.32 = 296,150/x
  3. Step 3: Cross multiply
    534,614x = 737,767.32 × 296,150
  4. Step 4: Simplify right side
    534,614x = 218,489,791,818
  5. Step 5: Solve for x
    x = 218,489,791,818/534,614
  6. Step 6: Final answer
    x = 408,687

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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.