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Finding the Fourth Proportional to 274,420.70, 410,829.15 and 195,688.70

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Solution

The fourth proportional to 274,420.70, 410,829.15 and 195,688.70 is: 292,961.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,420.70 : 410,829.15 = 195,688.70 : x
  2. Step 2: Convert to fraction form
    274,420.70/410,829.15 = 195,688.70/x
  3. Step 3: Cross multiply
    274,420.70x = 410,829.15 × 195,688.70
  4. Step 4: Simplify right side
    274,420.70x = 80,394,622,285.61
  5. Step 5: Solve for x
    x = 80,394,622,285.61/274,420.70
  6. Step 6: Final answer
    x = 292,961.22

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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.