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Finding the Fourth Proportional to 417,707.56, 576,420.99 and 226,716.88

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Solution

The fourth proportional to 417,707.56, 576,420.99 and 226,716.88 is: 312,860.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,707.56 : 576,420.99 = 226,716.88 : x
  2. Step 2: Convert to fraction form
    417,707.56/576,420.99 = 226,716.88/x
  3. Step 3: Cross multiply
    417,707.56x = 576,420.99 × 226,716.88
  4. Step 4: Simplify right side
    417,707.56x = 130,684,368,419.31
  5. Step 5: Solve for x
    x = 130,684,368,419.31/417,707.56
  6. Step 6: Final answer
    x = 312,860.91

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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.