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Finding the Fourth Proportional to 297,674.94, 410,789.76 and 161,707.77

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Solution

The fourth proportional to 297,674.94, 410,789.76 and 161,707.77 is: 223,155.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,674.94 : 410,789.76 = 161,707.77 : x
  2. Step 2: Convert to fraction form
    297,674.94/410,789.76 = 161,707.77/x
  3. Step 3: Cross multiply
    297,674.94x = 410,789.76 × 161,707.77
  4. Step 4: Simplify right side
    297,674.94x = 66,427,896,028.44
  5. Step 5: Solve for x
    x = 66,427,896,028.44/297,674.94
  6. Step 6: Final answer
    x = 223,155.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.