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Finding the Fourth Proportional to 414,219.70, 620,892.15 and 236,343.70

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Solution

The fourth proportional to 414,219.70, 620,892.15 and 236,343.70 is: 354,265.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,219.70 : 620,892.15 = 236,343.70 : x
  2. Step 2: Convert to fraction form
    414,219.70/620,892.15 = 236,343.70/x
  3. Step 3: Cross multiply
    414,219.70x = 620,892.15 × 236,343.70
  4. Step 4: Simplify right side
    414,219.70x = 146,743,948,031.96
  5. Step 5: Solve for x
    x = 146,743,948,031.96/414,219.70
  6. Step 6: Final answer
    x = 354,265.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.