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Finding the Fourth Proportional to 416,996.37, 575,083.40 and 325,138.19

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Solution

The fourth proportional to 416,996.37, 575,083.40 and 325,138.19 is: 448,400.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,996.37 : 575,083.40 = 325,138.19 : x
  2. Step 2: Convert to fraction form
    416,996.37/575,083.40 = 325,138.19/x
  3. Step 3: Cross multiply
    416,996.37x = 575,083.40 × 325,138.19
  4. Step 4: Simplify right side
    416,996.37x = 186,981,571,273.94
  5. Step 5: Solve for x
    x = 186,981,571,273.94/416,996.37
  6. Step 6: Final answer
    x = 448,400.96

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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.