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Finding the Fourth Proportional to 470,793.45, 706,190.19 and 150,944.70

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Solution

The fourth proportional to 470,793.45, 706,190.19 and 150,944.70 is: 226,417.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,793.45 : 706,190.19 = 150,944.70 : x
  2. Step 2: Convert to fraction form
    470,793.45/706,190.19 = 150,944.70/x
  3. Step 3: Cross multiply
    470,793.45x = 706,190.19 × 150,944.70
  4. Step 4: Simplify right side
    470,793.45x = 106,595,666,372.49
  5. Step 5: Solve for x
    x = 106,595,666,372.49/470,793.45
  6. Step 6: Final answer
    x = 226,417.05

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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.