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Finding the Fourth Proportional to 416,406.04, 574,642.17 and 225,419.43

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Solution

The fourth proportional to 416,406.04, 574,642.17 and 225,419.43 is: 311,079.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,406.04 : 574,642.17 = 225,419.43 : x
  2. Step 2: Convert to fraction form
    416,406.04/574,642.17 = 225,419.43/x
  3. Step 3: Cross multiply
    416,406.04x = 574,642.17 × 225,419.43
  4. Step 4: Simplify right side
    416,406.04x = 129,535,510,415.36
  5. Step 5: Solve for x
    x = 129,535,510,415.36/416,406.04
  6. Step 6: Final answer
    x = 311,079.81

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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.