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Finding the Fourth Proportional to 310,906.50, 466,371.90 and 97,819.80

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Solution

The fourth proportional to 310,906.50, 466,371.90 and 97,819.80 is: 146,733.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,906.50 : 466,371.90 = 97,819.80 : x
  2. Step 2: Convert to fraction form
    310,906.50/466,371.90 = 97,819.80/x
  3. Step 3: Cross multiply
    310,906.50x = 466,371.90 × 97,819.80
  4. Step 4: Simplify right side
    310,906.50x = 45,620,405,983.62
  5. Step 5: Solve for x
    x = 45,620,405,983.62/310,906.50
  6. Step 6: Final answer
    x = 146,733.52

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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.