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Finding the Fourth Proportional to 470,849.60, 706,015.20 and 190,049.60

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Solution

The fourth proportional to 470,849.60, 706,015.20 and 190,049.60 is: 284,969.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,849.60 : 706,015.20 = 190,049.60 : x
  2. Step 2: Convert to fraction form
    470,849.60/706,015.20 = 190,049.60/x
  3. Step 3: Cross multiply
    470,849.60x = 706,015.20 × 190,049.60
  4. Step 4: Simplify right side
    470,849.60x = 134,177,906,353.92
  5. Step 5: Solve for x
    x = 134,177,906,353.92/470,849.60
  6. Step 6: Final answer
    x = 284,969.78

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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.