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Finding the Fourth Proportional to 543,683.86, 815,638.83 and 164,625.82

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Solution

The fourth proportional to 543,683.86, 815,638.83 and 164,625.82 is: 246,972.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,683.86 : 815,638.83 = 164,625.82 : x
  2. Step 2: Convert to fraction form
    543,683.86/815,638.83 = 164,625.82/x
  3. Step 3: Cross multiply
    543,683.86x = 815,638.83 × 164,625.82
  4. Step 4: Simplify right side
    543,683.86x = 134,275,211,212.59
  5. Step 5: Solve for x
    x = 134,275,211,212.59/543,683.86
  6. Step 6: Final answer
    x = 246,972.96

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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.