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Finding the Fourth Proportional to 300,545.20, 414,753.24 and 164,580.40

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Solution

The fourth proportional to 300,545.20, 414,753.24 and 164,580.40 is: 227,121.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,545.20 : 414,753.24 = 164,580.40 : x
  2. Step 2: Convert to fraction form
    300,545.20/414,753.24 = 164,580.40/x
  3. Step 3: Cross multiply
    300,545.20x = 414,753.24 × 164,580.40
  4. Step 4: Simplify right side
    300,545.20x = 68,260,254,140.50
  5. Step 5: Solve for x
    x = 68,260,254,140.50/300,545.20
  6. Step 6: Final answer
    x = 227,121.43

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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.