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Finding the Fourth Proportional to 735,304.92, 1,102,003.77 and 330,198

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Solution

The fourth proportional to 735,304.92, 1,102,003.77 and 330,198 is: 494,868.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,304.92 : 1,102,003.77 = 330,198 : x
  2. Step 2: Convert to fraction form
    735,304.92/1,102,003.77 = 330,198/x
  3. Step 3: Cross multiply
    735,304.92x = 1,102,003.77 × 330,198
  4. Step 4: Simplify right side
    735,304.92x = 363,879,440,846.46
  5. Step 5: Solve for x
    x = 363,879,440,846.46/735,304.92
  6. Step 6: Final answer
    x = 494,868.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.