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Finding the Fourth Proportional to 419,189.32, 578,480.58 and 228,202.12

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Solution

The fourth proportional to 419,189.32, 578,480.58 and 228,202.12 is: 314,918.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,189.32 : 578,480.58 = 228,202.12 : x
  2. Step 2: Convert to fraction form
    419,189.32/578,480.58 = 228,202.12/x
  3. Step 3: Cross multiply
    419,189.32x = 578,480.58 × 228,202.12
  4. Step 4: Simplify right side
    419,189.32x = 132,010,494,734.83
  5. Step 5: Solve for x
    x = 132,010,494,734.83/419,189.32
  6. Step 6: Final answer
    x = 314,918.55

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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.