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Finding the Fourth Proportional to 354,543.75, 531,517.34 and 164,907.77

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Solution

The fourth proportional to 354,543.75, 531,517.34 and 164,907.77 is: 247,222.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,543.75 : 531,517.34 = 164,907.77 : x
  2. Step 2: Convert to fraction form
    354,543.75/531,517.34 = 164,907.77/x
  3. Step 3: Cross multiply
    354,543.75x = 531,517.34 × 164,907.77
  4. Step 4: Simplify right side
    354,543.75x = 87,651,337,010.41
  5. Step 5: Solve for x
    x = 87,651,337,010.41/354,543.75
  6. Step 6: Final answer
    x = 247,222.91

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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.