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Finding the Fourth Proportional to 456,694.31, 685,044.30 and 119,731.94

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Solution

The fourth proportional to 456,694.31, 685,044.30 and 119,731.94 is: 179,598.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,694.31 : 685,044.30 = 119,731.94 : x
  2. Step 2: Convert to fraction form
    456,694.31/685,044.30 = 119,731.94/x
  3. Step 3: Cross multiply
    456,694.31x = 685,044.30 × 119,731.94
  4. Step 4: Simplify right side
    456,694.31x = 82,021,682,617.63
  5. Step 5: Solve for x
    x = 82,021,682,617.63/456,694.31
  6. Step 6: Final answer
    x = 179,598.65

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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.