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Finding the Fourth Proportional to 471,178.83, 706,500.48 and 321,600.18

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Solution

The fourth proportional to 471,178.83, 706,500.48 and 321,600.18 is: 482,217.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,178.83 : 706,500.48 = 321,600.18 : x
  2. Step 2: Convert to fraction form
    471,178.83/706,500.48 = 321,600.18/x
  3. Step 3: Cross multiply
    471,178.83x = 706,500.48 × 321,600.18
  4. Step 4: Simplify right side
    471,178.83x = 227,210,681,538.09
  5. Step 5: Solve for x
    x = 227,210,681,538.09/471,178.83
  6. Step 6: Final answer
    x = 482,217.51

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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.