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Finding the Fourth Proportional to 312,714.32, 431,546.09 and 169,474.32

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Solution

The fourth proportional to 312,714.32, 431,546.09 and 169,474.32 is: 233,874.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,714.32 : 431,546.09 = 169,474.32 : x
  2. Step 2: Convert to fraction form
    312,714.32/431,546.09 = 169,474.32/x
  3. Step 3: Cross multiply
    312,714.32x = 431,546.09 × 169,474.32
  4. Step 4: Simplify right side
    312,714.32x = 73,135,979,304.04
  5. Step 5: Solve for x
    x = 73,135,979,304.04/312,714.32
  6. Step 6: Final answer
    x = 233,874.74

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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.