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Finding the Fourth Proportional to 470,899.33, 706,333.20 and 204,659.82

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Solution

The fourth proportional to 470,899.33, 706,333.20 and 204,659.82 is: 306,982.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,899.33 : 706,333.20 = 204,659.82 : x
  2. Step 2: Convert to fraction form
    470,899.33/706,333.20 = 204,659.82/x
  3. Step 3: Cross multiply
    470,899.33x = 706,333.20 × 204,659.82
  4. Step 4: Simplify right side
    470,899.33x = 144,558,024,804.55
  5. Step 5: Solve for x
    x = 144,558,024,804.55/470,899.33
  6. Step 6: Final answer
    x = 306,982.87

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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.