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Finding the Fourth Proportional to 471,230.40, 706,327.20 and 204,945.60

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Solution

The fourth proportional to 471,230.40, 706,327.20 and 204,945.60 is: 307,192.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,230.40 : 706,327.20 = 204,945.60 : x
  2. Step 2: Convert to fraction form
    471,230.40/706,327.20 = 204,945.60/x
  3. Step 3: Cross multiply
    471,230.40x = 706,327.20 × 204,945.60
  4. Step 4: Simplify right side
    471,230.40x = 144,758,651,800.32
  5. Step 5: Solve for x
    x = 144,758,651,800.32/471,230.40
  6. Step 6: Final answer
    x = 307,192.94

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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.