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Finding the Fourth Proportional to 419,505.15, 578,914.14 and 228,518.55

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Solution

The fourth proportional to 419,505.15, 578,914.14 and 228,518.55 is: 315,353.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,505.15 : 578,914.14 = 228,518.55 : x
  2. Step 2: Convert to fraction form
    419,505.15/578,914.14 = 228,518.55/x
  3. Step 3: Cross multiply
    419,505.15x = 578,914.14 × 228,518.55
  4. Step 4: Simplify right side
    419,505.15x = 132,292,619,847.30
  5. Step 5: Solve for x
    x = 132,292,619,847.30/419,505.15
  6. Step 6: Final answer
    x = 315,353.98

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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.