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Finding the Fourth Proportional to 964,170, 1,330,414.92 and 534,450

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Solution

The fourth proportional to 964,170, 1,330,414.92 and 534,450 is: 737,463.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,170 : 1,330,414.92 = 534,450 : x
  2. Step 2: Convert to fraction form
    964,170/1,330,414.92 = 534,450/x
  3. Step 3: Cross multiply
    964,170x = 1,330,414.92 × 534,450
  4. Step 4: Simplify right side
    964,170x = 711,040,253,994
  5. Step 5: Solve for x
    x = 711,040,253,994/964,170
  6. Step 6: Final answer
    x = 737,463.57

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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.