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Finding the Fourth Proportional to 470,900.33, 706,334.70 and 204,660.82

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Solution

The fourth proportional to 470,900.33, 706,334.70 and 204,660.82 is: 306,984.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,900.33 : 706,334.70 = 204,660.82 : x
  2. Step 2: Convert to fraction form
    470,900.33/706,334.70 = 204,660.82/x
  3. Step 3: Cross multiply
    470,900.33x = 706,334.70 × 204,660.82
  4. Step 4: Simplify right side
    470,900.33x = 144,559,038,896.45
  5. Step 5: Solve for x
    x = 144,559,038,896.45/470,900.33
  6. Step 6: Final answer
    x = 306,984.37

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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.