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Finding the Fourth Proportional to 471,103.83, 705,022.79 and 451,508.31

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Solution

The fourth proportional to 471,103.83, 705,022.79 and 451,508.31 is: 675,697.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,103.83 : 705,022.79 = 451,508.31 : x
  2. Step 2: Convert to fraction form
    471,103.83/705,022.79 = 451,508.31/x
  3. Step 3: Cross multiply
    471,103.83x = 705,022.79 × 451,508.31
  4. Step 4: Simplify right side
    471,103.83x = 318,323,646,166.84
  5. Step 5: Solve for x
    x = 318,323,646,166.84/471,103.83
  6. Step 6: Final answer
    x = 675,697.43

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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.