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Finding the Fourth Proportional to 417,966.12, 576,777.82 and 226,975.41

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Solution

The fourth proportional to 417,966.12, 576,777.82 and 226,975.41 is: 313,217.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,966.12 : 576,777.82 = 226,975.41 : x
  2. Step 2: Convert to fraction form
    417,966.12/576,777.82 = 226,975.41/x
  3. Step 3: Cross multiply
    417,966.12x = 576,777.82 × 226,975.41
  4. Step 4: Simplify right side
    417,966.12x = 130,914,382,173.41
  5. Step 5: Solve for x
    x = 130,914,382,173.41/417,966.12
  6. Step 6: Final answer
    x = 313,217.69

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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.