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Finding the Fourth Proportional to 335,902.36, 463,510.96 and 206,820.36

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Solution

The fourth proportional to 335,902.36, 463,510.96 and 206,820.36 is: 285,390.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,902.36 : 463,510.96 = 206,820.36 : x
  2. Step 2: Convert to fraction form
    335,902.36/463,510.96 = 206,820.36/x
  3. Step 3: Cross multiply
    335,902.36x = 463,510.96 × 206,820.36
  4. Step 4: Simplify right side
    335,902.36x = 95,863,503,611.15
  5. Step 5: Solve for x
    x = 95,863,503,611.15/335,902.36
  6. Step 6: Final answer
    x = 285,390.98

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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.