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Finding the Fourth Proportional to 312,546.30, 431,314.95 and 169,305.90

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Solution

The fourth proportional to 312,546.30, 431,314.95 and 169,305.90 is: 233,642.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,546.30 : 431,314.95 = 169,305.90 : x
  2. Step 2: Convert to fraction form
    312,546.30/431,314.95 = 169,305.90/x
  3. Step 3: Cross multiply
    312,546.30x = 431,314.95 × 169,305.90
  4. Step 4: Simplify right side
    312,546.30x = 73,024,165,793.21
  5. Step 5: Solve for x
    x = 73,024,165,793.21/312,546.30
  6. Step 6: Final answer
    x = 233,642.71

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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.