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Finding the Fourth Proportional to 471,133.00, 706,933.02 and 186,817.46

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Solution

The fourth proportional to 471,133.00, 706,933.02 and 186,817.46 is: 280,318.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,133.00 : 706,933.02 = 186,817.46 : x
  2. Step 2: Convert to fraction form
    471,133.00/706,933.02 = 186,817.46/x
  3. Step 3: Cross multiply
    471,133.00x = 706,933.02 × 186,817.46
  4. Step 4: Simplify right side
    471,133.00x = 132,067,427,651.86
  5. Step 5: Solve for x
    x = 132,067,427,651.86/471,133.00
  6. Step 6: Final answer
    x = 280,318.78

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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.