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Finding the Fourth Proportional to 312,659.44, 431,471.52 and 169,419.74

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Solution

The fourth proportional to 312,659.44, 431,471.52 and 169,419.74 is: 233,800.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,659.44 : 431,471.52 = 169,419.74 : x
  2. Step 2: Convert to fraction form
    312,659.44/431,471.52 = 169,419.74/x
  3. Step 3: Cross multiply
    312,659.44x = 431,471.52 × 169,419.74
  4. Step 4: Simplify right side
    312,659.44x = 73,099,790,578.45
  5. Step 5: Solve for x
    x = 73,099,790,578.45/312,659.44
  6. Step 6: Final answer
    x = 233,800.05

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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.