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Finding the Fourth Proportional to 466,428.46, 699,664.56 and 150,910.06

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Solution

The fourth proportional to 466,428.46, 699,664.56 and 150,910.06 is: 226,372.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,428.46 : 699,664.56 = 150,910.06 : x
  2. Step 2: Convert to fraction form
    466,428.46/699,664.56 = 150,910.06/x
  3. Step 3: Cross multiply
    466,428.46x = 699,664.56 × 150,910.06
  4. Step 4: Simplify right side
    466,428.46x = 105,586,420,729.47
  5. Step 5: Solve for x
    x = 105,586,420,729.47/466,428.46
  6. Step 6: Final answer
    x = 226,372.17

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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.