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Finding the Fourth Proportional to 419,198.04, 578,475.12 and 228,212.08

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Solution

The fourth proportional to 419,198.04, 578,475.12 and 228,212.08 is: 314,922.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,198.04 : 578,475.12 = 228,212.08 : x
  2. Step 2: Convert to fraction form
    419,198.04/578,475.12 = 228,212.08/x
  3. Step 3: Cross multiply
    419,198.04x = 578,475.12 × 228,212.08
  4. Step 4: Simplify right side
    419,198.04x = 132,015,010,363.45
  5. Step 5: Solve for x
    x = 132,015,010,363.45/419,198.04
  6. Step 6: Final answer
    x = 314,922.78

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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.