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Finding the Fourth Proportional to 374,910.25, 517,376.15 and 205,144.38

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Solution

The fourth proportional to 374,910.25, 517,376.15 and 205,144.38 is: 283,099.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,910.25 : 517,376.15 = 205,144.38 : x
  2. Step 2: Convert to fraction form
    374,910.25/517,376.15 = 205,144.38/x
  3. Step 3: Cross multiply
    374,910.25x = 517,376.15 × 205,144.38
  4. Step 4: Simplify right side
    374,910.25x = 106,136,809,518.54
  5. Step 5: Solve for x
    x = 106,136,809,518.54/374,910.25
  6. Step 6: Final answer
    x = 283,099.25

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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.