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Finding the Fourth Proportional to 471,230.60, 705,809.10 and 409,022.60

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Solution

The fourth proportional to 471,230.60, 705,809.10 and 409,022.60 is: 612,633.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,230.60 : 705,809.10 = 409,022.60 : x
  2. Step 2: Convert to fraction form
    471,230.60/705,809.10 = 409,022.60/x
  3. Step 3: Cross multiply
    471,230.60x = 705,809.10 × 409,022.60
  4. Step 4: Simplify right side
    471,230.60x = 288,691,873,185.66
  5. Step 5: Solve for x
    x = 288,691,873,185.66/471,230.60
  6. Step 6: Final answer
    x = 612,633.97

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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.