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Finding the Fourth Proportional to 466,343.16, 699,321.62 and 146,388.12

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Solution

The fourth proportional to 466,343.16, 699,321.62 and 146,388.12 is: 219,521.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,343.16 : 699,321.62 = 146,388.12 : x
  2. Step 2: Convert to fraction form
    466,343.16/699,321.62 = 146,388.12/x
  3. Step 3: Cross multiply
    466,343.16x = 699,321.62 × 146,388.12
  4. Step 4: Simplify right side
    466,343.16x = 102,372,377,227.15
  5. Step 5: Solve for x
    x = 102,372,377,227.15/466,343.16
  6. Step 6: Final answer
    x = 219,521.56

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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.