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Finding the Fourth Proportional to 419,234.28, 578,545.68 and 228,247.20

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Solution

The fourth proportional to 419,234.28, 578,545.68 and 228,247.20 is: 314,982.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,234.28 : 578,545.68 = 228,247.20 : x
  2. Step 2: Convert to fraction form
    419,234.28/578,545.68 = 228,247.20/x
  3. Step 3: Cross multiply
    419,234.28x = 578,545.68 × 228,247.20
  4. Step 4: Simplify right side
    419,234.28x = 132,051,431,532.10
  5. Step 5: Solve for x
    x = 132,051,431,532.10/419,234.28
  6. Step 6: Final answer
    x = 314,982.43

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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.