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Finding the Fourth Proportional to 329,506.56, 493,695.68 and 179,851.91

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Solution

The fourth proportional to 329,506.56, 493,695.68 and 179,851.91 is: 269,469.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,506.56 : 493,695.68 = 179,851.91 : x
  2. Step 2: Convert to fraction form
    329,506.56/493,695.68 = 179,851.91/x
  3. Step 3: Cross multiply
    329,506.56x = 493,695.68 × 179,851.91
  4. Step 4: Simplify right side
    329,506.56x = 88,792,107,639.01
  5. Step 5: Solve for x
    x = 88,792,107,639.01/329,506.56
  6. Step 6: Final answer
    x = 269,469.92

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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.