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Finding the Fourth Proportional to 416,115.72, 574,229.82 and 234,822.84

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Solution

The fourth proportional to 416,115.72, 574,229.82 and 234,822.84 is: 324,049.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,115.72 : 574,229.82 = 234,822.84 : x
  2. Step 2: Convert to fraction form
    416,115.72/574,229.82 = 234,822.84/x
  3. Step 3: Cross multiply
    416,115.72x = 574,229.82 × 234,822.84
  4. Step 4: Simplify right side
    416,115.72x = 134,842,277,145.09
  5. Step 5: Solve for x
    x = 134,842,277,145.09/416,115.72
  6. Step 6: Final answer
    x = 324,049.95

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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.