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Finding the Fourth Proportional to 416,934.41, 575,431.22 and 263,986.84

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Solution

The fourth proportional to 416,934.41, 575,431.22 and 263,986.84 is: 364,340.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,934.41 : 575,431.22 = 263,986.84 : x
  2. Step 2: Convert to fraction form
    416,934.41/575,431.22 = 263,986.84/x
  3. Step 3: Cross multiply
    416,934.41x = 575,431.22 × 263,986.84
  4. Step 4: Simplify right side
    416,934.41x = 151,906,269,405.15
  5. Step 5: Solve for x
    x = 151,906,269,405.15/416,934.41
  6. Step 6: Final answer
    x = 364,340.93

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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.