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Finding the Fourth Proportional to 273,906.40, 410,903.76 and 84,366.73

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Solution

The fourth proportional to 273,906.40, 410,903.76 and 84,366.73 is: 126,563.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,906.40 : 410,903.76 = 84,366.73 : x
  2. Step 2: Convert to fraction form
    273,906.40/410,903.76 = 84,366.73/x
  3. Step 3: Cross multiply
    273,906.40x = 410,903.76 × 84,366.73
  4. Step 4: Simplify right side
    273,906.40x = 34,666,606,575.90
  5. Step 5: Solve for x
    x = 34,666,606,575.90/273,906.40
  6. Step 6: Final answer
    x = 126,563.70

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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.