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Finding the Fourth Proportional to 419,211.12, 578,511.18 and 228,224.46

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Solution

The fourth proportional to 419,211.12, 578,511.18 and 228,224.46 is: 314,949.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,211.12 : 578,511.18 = 228,224.46 : x
  2. Step 2: Convert to fraction form
    419,211.12/578,511.18 = 228,224.46/x
  3. Step 3: Cross multiply
    419,211.12x = 578,511.18 × 228,224.46
  4. Step 4: Simplify right side
    419,211.12x = 132,030,401,659.46
  5. Step 5: Solve for x
    x = 132,030,401,659.46/419,211.12
  6. Step 6: Final answer
    x = 314,949.66

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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.