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Finding the Fourth Proportional to 345,792.82, 517,999.10 and 167,759.68

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Solution

The fourth proportional to 345,792.82, 517,999.10 and 167,759.68 is: 251,304.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,792.82 : 517,999.10 = 167,759.68 : x
  2. Step 2: Convert to fraction form
    345,792.82/517,999.10 = 167,759.68/x
  3. Step 3: Cross multiply
    345,792.82x = 517,999.10 × 167,759.68
  4. Step 4: Simplify right side
    345,792.82x = 86,899,362,380.69
  5. Step 5: Solve for x
    x = 86,899,362,380.69/345,792.82
  6. Step 6: Final answer
    x = 251,304.71

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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.