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Finding the Fourth Proportional to 297,741.80, 410,878.71 and 161,777.84

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Solution

The fourth proportional to 297,741.80, 410,878.71 and 161,777.84 is: 223,250.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,741.80 : 410,878.71 = 161,777.84 : x
  2. Step 2: Convert to fraction form
    297,741.80/410,878.71 = 161,777.84/x
  3. Step 3: Cross multiply
    297,741.80x = 410,878.71 × 161,777.84
  4. Step 4: Simplify right side
    297,741.80x = 66,471,068,151.39
  5. Step 5: Solve for x
    x = 66,471,068,151.39/297,741.80
  6. Step 6: Final answer
    x = 223,250.71

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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.