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Finding the Fourth Proportional to 365,285, 504,057.92 and 229,275.48

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Solution

The fourth proportional to 365,285, 504,057.92 and 229,275.48 is: 316,377.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,285 : 504,057.92 = 229,275.48 : x
  2. Step 2: Convert to fraction form
    365,285/504,057.92 = 229,275.48/x
  3. Step 3: Cross multiply
    365,285x = 504,057.92 × 229,275.48
  4. Step 4: Simplify right side
    365,285x = 115,568,121,555.80
  5. Step 5: Solve for x
    x = 115,568,121,555.80/365,285
  6. Step 6: Final answer
    x = 316,377.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.