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Finding the Fourth Proportional to 471,134.75, 706,935.65 and 186,819.21

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Solution

The fourth proportional to 471,134.75, 706,935.65 and 186,819.21 is: 280,321.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,134.75 : 706,935.65 = 186,819.21 : x
  2. Step 2: Convert to fraction form
    471,134.75/706,935.65 = 186,819.21/x
  3. Step 3: Cross multiply
    471,134.75x = 706,935.65 × 186,819.21
  4. Step 4: Simplify right side
    471,134.75x = 132,069,155,185.06
  5. Step 5: Solve for x
    x = 132,069,155,185.06/471,134.75
  6. Step 6: Final answer
    x = 280,321.41

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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.