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Finding the Fourth Proportional to 416,837.39, 575,235.74 and 225,850.78

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Solution

The fourth proportional to 416,837.39, 575,235.74 and 225,850.78 is: 311,674.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,837.39 : 575,235.74 = 225,850.78 : x
  2. Step 2: Convert to fraction form
    416,837.39/575,235.74 = 225,850.78/x
  3. Step 3: Cross multiply
    416,837.39x = 575,235.74 × 225,850.78
  4. Step 4: Simplify right side
    416,837.39x = 129,917,441,846.55
  5. Step 5: Solve for x
    x = 129,917,441,846.55/416,837.39
  6. Step 6: Final answer
    x = 311,674.16

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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.