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Finding the Fourth Proportional to 468,450, 702,694.44 and 136,026

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Solution

The fourth proportional to 468,450, 702,694.44 and 136,026 is: 204,044.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,450 : 702,694.44 = 136,026 : x
  2. Step 2: Convert to fraction form
    468,450/702,694.44 = 136,026/x
  3. Step 3: Cross multiply
    468,450x = 702,694.44 × 136,026
  4. Step 4: Simplify right side
    468,450x = 95,584,713,895.44
  5. Step 5: Solve for x
    x = 95,584,713,895.44/468,450
  6. Step 6: Final answer
    x = 204,044.64

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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.