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Finding the Fourth Proportional to 275,340.92, 412,766.70 and 97,824.52

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Solution

The fourth proportional to 275,340.92, 412,766.70 and 97,824.52 is: 146,649.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,340.92 : 412,766.70 = 97,824.52 : x
  2. Step 2: Convert to fraction form
    275,340.92/412,766.70 = 97,824.52/x
  3. Step 3: Cross multiply
    275,340.92x = 412,766.70 × 97,824.52
  4. Step 4: Simplify right side
    275,340.92x = 40,378,704,299.48
  5. Step 5: Solve for x
    x = 40,378,704,299.48/275,340.92
  6. Step 6: Final answer
    x = 146,649.85

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1.5x scale

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.