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Finding the Fourth Proportional to 470,884.95, 706,311.81 and 204,645.78

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Solution

The fourth proportional to 470,884.95, 706,311.81 and 204,645.78 is: 306,961.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,884.95 : 706,311.81 = 204,645.78 : x
  2. Step 2: Convert to fraction form
    470,884.95/706,311.81 = 204,645.78/x
  3. Step 3: Cross multiply
    470,884.95x = 706,311.81 × 204,645.78
  4. Step 4: Simplify right side
    470,884.95x = 144,543,731,280.66
  5. Step 5: Solve for x
    x = 144,543,731,280.66/470,884.95
  6. Step 6: Final answer
    x = 306,961.88

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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.