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Finding the Fourth Proportional to 416,199.40, 574,354.02 and 225,216.04

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Solution

The fourth proportional to 416,199.40, 574,354.02 and 225,216.04 is: 310,797.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,199.40 : 574,354.02 = 225,216.04 : x
  2. Step 2: Convert to fraction form
    416,199.40/574,354.02 = 225,216.04/x
  3. Step 3: Cross multiply
    416,199.40x = 574,354.02 × 225,216.04
  4. Step 4: Simplify right side
    416,199.40x = 129,353,737,942.48
  5. Step 5: Solve for x
    x = 129,353,737,942.48/416,199.40
  6. Step 6: Final answer
    x = 310,797.51

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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.