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Finding the Fourth Proportional to 416,228.29, 574,395.03 and 225,241.68

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Solution

The fourth proportional to 416,228.29, 574,395.03 and 225,241.68 is: 310,833.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,228.29 : 574,395.03 = 225,241.68 : x
  2. Step 2: Convert to fraction form
    416,228.29/574,395.03 = 225,241.68/x
  3. Step 3: Cross multiply
    416,228.29x = 574,395.03 × 225,241.68
  4. Step 4: Simplify right side
    416,228.29x = 129,377,702,103.96
  5. Step 5: Solve for x
    x = 129,377,702,103.96/416,228.29
  6. Step 6: Final answer
    x = 310,833.52

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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.