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Finding the Fourth Proportional to 455,107.92, 682,107.48 and 322,026

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Solution

The fourth proportional to 455,107.92, 682,107.48 and 322,026 is: 482,646.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,107.92 : 682,107.48 = 322,026 : x
  2. Step 2: Convert to fraction form
    455,107.92/682,107.48 = 322,026/x
  3. Step 3: Cross multiply
    455,107.92x = 682,107.48 × 322,026
  4. Step 4: Simplify right side
    455,107.92x = 219,656,343,354.48
  5. Step 5: Solve for x
    x = 219,656,343,354.48/455,107.92
  6. Step 6: Final answer
    x = 482,646.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.