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Finding the Fourth Proportional to 416,539.82, 574,827.71 and 225,553.21

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Solution

The fourth proportional to 416,539.82, 574,827.71 and 225,553.21 is: 311,264.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,539.82 : 574,827.71 = 225,553.21 : x
  2. Step 2: Convert to fraction form
    416,539.82/574,827.71 = 225,553.21/x
  3. Step 3: Cross multiply
    416,539.82x = 574,827.71 × 225,553.21
  4. Step 4: Simplify right side
    416,539.82x = 129,654,231,185.55
  5. Step 5: Solve for x
    x = 129,654,231,185.55/416,539.82
  6. Step 6: Final answer
    x = 311,264.92

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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.