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Finding the Fourth Proportional to 416,213.48, 574,376.52 and 234,933.08

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Solution

The fourth proportional to 416,213.48, 574,376.52 and 234,933.08 is: 324,208.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,213.48 : 574,376.52 = 234,933.08 : x
  2. Step 2: Convert to fraction form
    416,213.48/574,376.52 = 234,933.08/x
  3. Step 3: Cross multiply
    416,213.48x = 574,376.52 × 234,933.08
  4. Step 4: Simplify right side
    416,213.48x = 134,940,044,923.28
  5. Step 5: Solve for x
    x = 134,940,044,923.28/416,213.48
  6. Step 6: Final answer
    x = 324,208.73

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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.