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Finding the Fourth Proportional to 313,469.93, 432,720.92 and 211,633.33

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Solution

The fourth proportional to 313,469.93, 432,720.92 and 211,633.33 is: 292,143.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,469.93 : 432,720.92 = 211,633.33 : x
  2. Step 2: Convert to fraction form
    313,469.93/432,720.92 = 211,633.33/x
  3. Step 3: Cross multiply
    313,469.93x = 432,720.92 × 211,633.33
  4. Step 4: Simplify right side
    313,469.93x = 91,578,167,096.66
  5. Step 5: Solve for x
    x = 91,578,167,096.66/313,469.93
  6. Step 6: Final answer
    x = 292,143.39

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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.